While standing on top of a hill at a ski resort, Lisa spots the ski lodge below. If the vertical height of the hill is 1209 feet and the angle of depression is 53°, what distance must Lisa ski in order to reach the lodge?

Answers

Answer 1

Answer:

1514 feet

Step-by-step explanation:

We solve using the trigonometric function of Sine

sin θ = Opposite/ Hypotenuse

θ = Angle of depression = 53°

Opposite = Vertical height = 1209 feet

Hypotenuse = x =??

Hence,

sin 53 = 1209 feet/x

Cross Multiply

sin 53 × x = 1209 feet

x = 1209 feet/ sin 53

x = 1513.8320107 feet

Approximately = 1514 feet

Therefore, the distance Lisa must ski to reach the lodge is 1514 feet


Related Questions

Samir buys T-Shirts for $10 each and markups the price by 35%. Samira claims that Samir has to mark each shirt up by $3.50.


Is she correct?

Answers

Answer: she is correct

Step-by-step explanation:

35% in decimal form is 3.50

Yes $10 cost multiple by 1.35 is $13.50 retail so markup is $3.50.

Which ordered pair is the solution to the system of linear equations y= -7x+2 and. y=9x - 14

A (-5,1)
B (1,-5)
C (5, -1)
D (-1,5P

Answers

The answer is (1,-5), If you put those two on a graph, that point is where they collide.

Mhanifa please help these are my last ones !

Answers

Answer:

#1

x/12 = 2/8x = 12/4x = 3

#2

m∠E = 180° - (60° + 53°) = 67° ∠E ≅ ∠H ⇒ ∠D ≅ ∠G

ΔCDE ~ ΔFGH by AA postulate

#16

a = 3.5 in and k = 2/3, a' = ?a' = ak a' = 3.5*2/3 = 7/2*2/3 = 7/3 = 2 1/3 in

Correct choice is D

Calculate axis of symmetry and vertex for equation 4x squared + 8x = 32

Answers

Answer:

x=2,−4 hope this was help full

pleaseeee help me, i dont have much time to finish

Answers

Answer:

[tex]\sqrt{80} \\OR \\ 5\sqrt{4}[/tex]

Step-by-step explanation:

pythagorean theorm

and then simplify with a factor tree or leave it as is.

BRAINLIEST PLEASE IF RIGHT

You plant a tree that is 36 inches tall. After one year, the tree is 43 inches tall. Which expression describes the percent of increase in the tree's height? 3643×100 43−3643 43−3636×100 43−3643×100

Answers

Answer:

19.4%

Step-by-step explanation:

Given data

Initial height=36in

Final height= 43in

% increase= Final-initial/initial*100

Substitute

% increase= 43-36/36*100

%increase= 7/36*100

%increase= 0.194*100

%increase= 19.4%

Hence the increase is 19.4%

what is the area and yard of 15 and 4

Answers

Answer:

The area and yard is 60.

Step-by-step explanation:

15 x 4 = 60

Let me know if that helps!

It will be 60yd, all you need to do is multiply the two measurements. Hope this helps! Mark brainly please!

Ramsay cuts out a piece from a circular cardboard for a school project. The radius of the cardboard is 10 inches and the measure of the central angle is 54 degrees, as shown.

What is the length of the curved boundary of the piece of the cardboard Ramsay cuts out?
Leave in terms of π.

Answers

Answer:

34 inches

Step-by-step explanation :

54/360 X 20

Help fast as you can worth 7 points

Answers

Answer:

d

Step-by-step explanation:

Answer: B

Step-by-step explanation: you have to multiply the 4 and 2

Please Answer the question i dont understand

Answers

Answer:

C. -2 degrees

Step-by-step explanation:

Answer:

the answer would be c. -2 degrees

Step-by-step explanation:

3 - 5 = -2

have a great day

HELPPPP PLSSSSSSSSSSSS

Answers

Answer:

A.

Step-by-step explanation:

During April, he charges $387.92 to the card, and at the end of April, he makes a payment of $400.00. What will be the new balance on his card?

Answers

he would have no money because he used it

Help!
I really need this A!!

Answers

Answer:

2 * 2 * 2 * 2 * 2 * 2, 4 * 16, 8 * 8.

Step-by-step explanation:

To make this easier, let's find the values of all the answers.

2^6 = 64.

So now we compare the values.

6 * 6 * 6 * 6 * 6 * 6 = 46656.

2 * 2 * 2 * 2 * 2 * 2 = 64.

2 * 6 = 12.

4 * 16 = 64.

12 * 12 = 144.

8 * 8 = 64.

Answer:

22222241688

Step-by-step explanation:

I think I think I think

A plant inspector takes a random sample of six month old seedlings from a nursery and measures their heights to the nearest mm .

Answers

Answer:

48

Step-by-step explanation:

QUICK whoever gives the correct answer gets Brainliest

Answers

Answer:

72.3%

Step-by-step explanation: multiply .723x100 to get 72.3 because your looking for the percent(multiply by 100 when your trying to find what something is as a percent)

HELP PLEASE FAST
Select the ordered pairs that are solutions to y<2x+5
(-6,6_ (0,8) (2,-1) (-1,3)

Answers

Answer:

c & d

Step-by-step explanation:

[tex]x = - 6 \: \: 6 \leqslant - 12 + 5 \\ \ \\ 6 \leqslant - 7 \: \: \\ \\ \\ x = 0 \: \: 8 \leqslant 5 \\ \\ \\ x = 2 \: \: - 1 \leqslant 4 + 5 \\ - 1 \leqslant 9 \\ \\ x = - 1 \: \: 3 \leqslant - 2 + 5 \\ 3 \leqslant 3[/tex]

HELP HELP HELP PLEASE HELP NOW HELP

Answers

Answer:

JK = 8

Step-by-step explanation:

Given 2 intersecting chords, then

The product of the measures of the parts of one chord is equal to the product of the measures of the other chord, that is

x(x + 4) = (x + 1)(x + 2) ← expand parenthesis

x² + 4x = x² + 3x + 2 ( subtract x² + 3x from both sides )

x = 2

Then

JK = x + 4 + x = 2x + 4 = 2(2) + 4 = 4 + 4 = 8

This is due today please help.
What is the area of the shape.

Answer choices:
24 yd2
36 yd2
39 yd2
30 yd2

Answers

I got u
24+6=30
9-6=3
3x4=12/2=6
6x4=24

30 yd^2

11 point)
Hospital records show that patients suffering from a specific disease die 40% of the
time. If 5 patients have this disease, how many would you expect to survive?

Answers

Answer:

3

Step-by-step explanation:

If 40% of the patients die, then 60% of the patients survive.

60% of 5 = 0.6 * 5 = 3

can someone please help

find the slope/rate of change on graph

a. 1/3
b. 3
c. 30
d. 10​

Answers

Answer:

m

Step-by-step explanation:

pls help and neatly show work

Answers

Answer:

Step-by-step explanation:

(2x^2 + 10x + 7x + 35) - (x^2 - 3x + 5x - 15)

x^2 + 15x + 50

(x + 5)(x + 10)

x = -10

Step-by-step explanation:

a

(x+5)(2x+7)-(x+5)(x-3)

factorize (x+5) out

(x+5)[(2x+7)-(x-3)]

(x+5)(2x+7-x+3)

(x+5)(2x-x+7+3)

(x+5)(x+10)

b. to get the zeros of the equation,

(x+5)(x+10)=0

x+10=0

x=-10

since the other one has been found already

It cost 0.17 to mail a postcard and 0.25 to mail a letter. If Dykov spent $4.35 and wrote postcards and letters to 19 friends, how many postcards did he mail?

Answers

Answer:

14 Letters and 5 Postcards

Step-by-step explanation:

Brenya Estate produces a high quality tea branded A, B and C in the ration 1.5: 5: 1. Originally Type A tea costs 1600, type B costs 800 and type C costs 1700 per kg to produce. Brenya Tea Estate packs Super tea in packets of 825g each. Blending and packing costs are 40 per kg. Determine the production cost for a packet of super tea

Answers

Answer:

The production cost for a packet of super tea is 924.

Step-by-step explanation:

The production cost of the Super tea is given as

[tex]Cost_{super\ tea}=Cost_{A}+Cost_{B}+Cost_{C}+Cost_{packaging\ and\ blending}[/tex]

Here the costs are given as following

[tex]Cost_A=\dfrac{Ratio\ of\ A}{Sum\ of \ ratios} \times Weight \times Cost\ of\ A\ per\ kg[/tex]

Here

Ratio of A is 1.5Sum of Ratios is 1.5+5+1=7.5Weight is 825 g or 0.825kgCost of A  per kg is 1600

So

[tex]Cost_A=\dfrac{Ratio\ of\ A}{Sum\ of \ ratios} \times Weight \times Cost\ of\ A\ per\ kg\\Cost_A=\dfrac{1.5}{7.5} \times 0.825 \times 1600\\Cost_A=264[/tex]

The cost of A is 264.

Similarly

[tex]Cost_B=\dfrac{Ratio\ of\ B}{Sum\ of \ ratios} \times Weight \times Cost\ of\ B\ per\ kg[/tex]

Here

Ratio of B is 5Sum of Ratios is 7.5Weight is 825 g or 0.825kgCost of B  per kg is 800

[tex]Cost_B=\dfrac{Ratio\ of\ B}{Sum\ of \ ratios} \times Weight \times Cost\ of\ B\ per\ kg\\Cost_B=\dfrac{5}{7.5} \times 0.825 \times 800\\Cost_B=440[/tex]

The cost of B is 440.

Also

[tex]Cost_C=\dfrac{Ratio\ of\ C}{Sum\ of \ ratios} \times Weight \times Cost\ of\ C\ per\ kg[/tex]

Here

Ratio of C is 1Sum of Ratios is 7.5Weight is 825 g or 0.825kgCost of C  per kg is 1700

[tex]Cost_C=\dfrac{Ratio\ of\ C}{Sum\ of \ ratios} \times Weight \times Cost\ of\ C\ per\ kg\\Cost_C=\dfrac{1}{7.5} \times 0.825 \times 1700\\Cost_C=187[/tex]

The cost of C is 187.

Now the packaging and blending cost for the given package is calculated as

[tex]Cost_{packaging\ and\ blending}=Weight*Cost_{packaging\ and\ blending\ per\ kg}[/tex]

Here

Weight is 825 g or 0.825kgCost of packaging and blending  per kg is 40

[tex]Cost_{packaging\ and\ blending}=Weight*Cost_{packaging\ and\ blending\ per\ kg}\\Cost_{packaging\ and\ blending}=0.825*40\\Cost_{packaging\ and\ blending}=33[/tex]

Cost of packaging and blending per packet is 33.

So now substituting values of costs in the following equation gives:

[tex]Cost_{super\ tea}=Cost_{A}+Cost_{B}+Cost_{C}+Cost_{packaging\ and\ blending}\\Cost_{super\ tea}=264+440+187+33\\Cost_{super\ tea}=924[/tex]

The production cost for a packet of super tea is 924.

helpppppppppppppppppppp​

Answers

Answer:

6:5:4

Step-by-step explanation:

6 + 5 + 4 = 15

3000/15 = 200

200 x 6 = 1200 = eldest

200 x 5 = 1000 = 2nd eldest

1200 + 1000 = 2200

3000 - 2200 = 800

200 x 4 = 800 = youngest

Answer 6 : 5 : 4

Step-by-step explanation:

Its simply because

1200 ÷ 6 is 200 which is a whole number... If you divide for example 1200 by 7 it wont give you a whole... And also the first number of the ratio should be the greatest since the first child got the most money and the last the least which means the least should be the smallest number.

I NEED HELP ON THIS PLZZ!! WILL MARK BRAINLIEST

Answers

Answer:

C i think

Step-by-step explanation:

you do 13x90 then divide by 5x

Answer: x=12

Step-by-step explanation:

We will use the Pythagorean Theorem since we know two sides and it is a right triangle

Pythagorean Theorem is a^2+b^2=c^2

a=5,b=x, c=13

(5)^2+(x)^2=(13)^2

25+(x)^2=169

Subtract 25 from both sides to start solving for x

(x)^2=144

Take the square root of both sides and get x=12

x=12

What is the volume of this square pyramid?

Answers

Answer:

400m^3

Step-by-step explanation:

Answer: [tex]400m^{2}[/tex]

Step-by-step explanation:

In order to solve this square pyramid's volume, we use the formula:

V = 1/3(B)(h)

Now, we plug in what we know. Since it has a square base, the sides of the base are all the same:

1/3(10*10)(12)

Now we solve:

1/3(100)(12)

1/3(1200)

400

The mean of the numbers 7, 5x, 4, 8 and 6 is
10. What is the value of x?
Ans:​

Answers

Answer:

Step-by-step explanation:

[tex]\frac{7+5x+4+8+6}{5} = 10[/tex]

7+5x+18=50

5x+25 = 50

5x = 25

x = 5

Answer:

25+5x =10

5

25+5x=505x=50-25x=25/5x=5

hope it helps.

Use the diagram to answer, given that line LM is a common tangent to circle P and circle Q. Leave answers in simplified radical when necessary. (Please let me know if the first blank is correct and answer the second one.)

Answers

Answer:

PL = 9

PN = 5√5

Step-by-step explanation:

8/12 = 6/PL

8PL = 72

PL = 9

PN² = 10² + 5² = 100 + 25 = 125

PN = √125 = 5√5

What is 2 to the power of 4 written in expanded form

Answers

Answer:

(4)2

4×4=16 or

(2)4

2×2×2×2=16

both are correct ☺️

Step-by-step explanation:

hope it helps you have a good day

Debbie McAdams paid 6% interest on a $14,500 loan balance. Jan Burke paid $12,480 interest on a $97,500 loan. Based on 1 year
a. What was the amount of interest paid by Debbie?
Interest paid by Debbie
b. What was the interest rate paid by Jan? (Round your answer to the nearesi tenth percent.)
Interest rate paid by Jan
c. Debbie and Jan are both in the 28% tax bracket. Since the interest is deductible, how much would Debbie and Jan each save in
taxes? (Round your answers to the nearest cent.)
Debbie
Jan
Save in taxes

Answers

Answer:

C

Step-by-step explanation:

Other Questions
what is the exponential equation find the length of x please. do yall know a Brief History of Russia No links!!!Please help me in our body, what is the process of moving eliminating waste? The function p(x) = 2(x 9)2 + 100 is used to determine the profit on T-shirts sold for x dollars. What would the profit from sales be if the price of the T-shirts were $15 apiece?$15$28$172$244 Approximately how many formula units of NaCl are in 116.88g of table salt (NaCl), knowing that the molar mass of NaCl is 58.44g/mol? Find the value of x in the triangle shown below.a.164b.2c.6d.80 4.78 times 10 to the 6th power was the largest attendance record of the polar bear express. chilly football extravaganza. 3.98 times 10 to the 6th power attended at the last last pb express event. how many more people were in attendance on the record-setting day? In a school 156 student passed Geography or History There were 75 student who passed in both subject If 9 more passed Geography than History Find how many were taking each subject 5. Chante was very cold. She wanted to wear her new jacket with the pinkflowers on it. Her mother said that it was negative seven degrees Celsiusbut that it was going to be eleven degrees Celsius by afternoon. How manydegrees would the temperature have to rise to reach eleven degreesCelsius? Convert 11 degrees Celsius to Fahrenheit. i need help i dont get it prove p = hdgplease give answer if you know A sharecropper in the South usually needed to: A. supply his own tools. B. supply his own animals. C. let the landowner decide what to plant. D. rely on land he owned to grow his food.Answer is C. let the landowner decide what to plant. How do you know how much caffeine a food or beverage contains?OScan the bar code.OHow strong it tastes.O Read the label.O How strong it smells. How are the boundaries drawn during the Berlin Conference to blame for the political unrest in modern Africa? find the measure of the missing angle The volume (V) of a cube is 216 cubic Inches. What is the surface area (S) of the cube? Choose the subject pronoun that performs the action described.Tienes una casa muy grande.YolTpls help 20 points TYYY 5647+34566= please hurry and answer don't put the answer in a link