From an angle of depression of 61 degrees, John
watches his friend approach his building while standing
on the rooftop. The rooftop is 17 m from the ground,
and John's eye level is at about 2m from the ground.
What is the distance between John's friend and the
building?
10.6
34.3
5.5
10.5

Answers

Answer 1

Answer:

10.53

Step-by-step explanation:

Given :

Height of building = 17m

John's eye level = 2 m

Total height (including eye level) = 17+2 = 19m

Angle of depression, θ = 61°

Let distance between John's friend and building = d

Using trigonometry :

Tan θ = opposite / Adjacent

Tan 61° = 19 / d

1.8040477 = 19 / d

d = 19 / 1.8040477

d = 10.53


Related Questions

1. Is the function below linear or non linear? y = -8X2 + 9??​

Answers

linear because it’s in y=mx+b form

no links
Suppose that the probability that your
mail is delivered before 2 pm is .90.
What is the probability that your
mail
will be delivered before 2 pm for two
consecutive days? Give your answer as
a decimal.

Answers

Answer:

The probability is 0.81

Step-by-step explanation:

The probability we want to find here is that;

the mail was delivered before 2 pm the first day and also delivered before 2 pm the next day

what we have to do here is to

multiply together, the probability in the two cases (for both days)

So we have this as:

0.9 * 0.9 = 0.81

Answer:

.81

Step-by-step explanation:

Factorise fully
-X – 10

Pls help

Answers

Answer:

-X – 10=-1(x+10) is your answer

help what shape is this :,)

Answers

Answer:

Rectangular prism

Step-by-step explanation:

Answer:

Rectangular prism

Step-by-step explanation:

<3 Addie and Austen

Find the value of x in the triangle shown below.

HELP AS SOON AS POSSIBLE:)

Thx<3

Answers

I believe the interior Angles have to add up to 180 so subtract the other two angles
X= 93

find the y- intercept of the following equation. simplify your answer. y=9x+6

Answers

0,6 is the y intercept

A company prints 22,875 tickets for a stadium. The tickets are placed into groups of 125. How many groups of tickets are made?

Answers

22,875 divided by 125= 183
There are 183 groups

What is the solution set to the equation 4x2 – 16 = 0?

Answers

Answer:

2

Step-by-step explanation:

add 16 to zero

4x2=16

Divide 4x by 2 and 16 by two

4x=8

divide 8 by 4

x=2

Answer:

x = ± 2

Step-by-step explanation:

Given

4x² - 16 = 0 ( add 16 to both sides )

4x² = 16 ( divide both sides by 4 )

x² = 4 ( take the square root of both sides )

x = ± [tex]\sqrt{4}[/tex] = ± 2

solutions are x = - 2, x = 2

A map uses a scale of 1 in. : 25 mi. If the distance between two cities on the map is 3.5, what is the actual distance between the cities?

Answers

Answer:

87.5 miles

Step-by-step explanation:

find the value of x. 49° x°

Answers

Answer:

x = 41

Step-by-step explanation:

All triangle angles add up to 180 so:

x + 90 + 49 = 180

x + 139 = 180

x = 180 - 139

x = 41

Convert 5/6 to an improper fraction[tex]\frac{??}{?}[/tex]

Answers

Answer:

5/6 is he answer there isn't any other way for it to be improper

hope this helps

have a good day :)

Step-by-step explanation:

Mia spent $30 to fill 10 gallons of gas in her minivan. How much does 6 gallons of gas cost?

Answers

Answer:

$18

Step-by-step explanation:

6/10 × $30 = $18

______

(7 x 10^5) ÷(2 x 10²)​

Answers

Answer:

[tex]3.5 * 10x^{3}[/tex]

Expanded Form:

3500

Step-by-step explanation:

Hope this helps!

Anyone know (Worth lost of points, will mark brainliest!)
*I also do not accept links, Sorry!

Answers

Here ya go! :)
—————-

PLS ANSWER I WILL MAKE YOU BRAINLIEST


A surveyor is standing 118 feet from the base of the Washington Monument. The surveyor measures the angle of elevation from the ground to the top of the monument to be 78°.
Find the height h of the Washington Monument to the nearest foot.

Answers

Answer:

555.1 ft

Step-by-step explanation:

Can someone please help. Please show work

Answers

Answer:

11. parallelogram, rectangle

12. parallelogram, rhombus

13. parallelogram, square

For parallelogram:

In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

for rectangle:

A quadrilateral is a polygon in Euclidean plane geometry with four edges (sides) and four vertices (corners). Other names for quadrilateral include quadrangle (in analogy to triangle), tetragon (in analogy to pentagon and hexagon), and 4-gon (in analogy to n-gons for arbitrary values of n).

for rhombus:

In plane Euclidean geometry, a rhombus (plural rhombi or rhombuses) is a quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal in length. The rhombus is often called a diamond.

for Square:

·There are four methods that you can use to prove that a quadrilateral is a square. In the last three of these methods, you first have to prove (or be given) that the quadrilateral is a rectangle, rhombus, or both:

·If a quadrilateral has four congruent sides and four right angles, then it’s a square (reverse of the square definition).

·If two consecutive sides of a rectangle are congruent, then it’s a square (neither the reverse of the definition nor the converse of a property).

·If a rhombus contains a right angle, then it’s a square (neither the reverse of the definition nor the converse of a property).

·If a quadrilateral is both a rectangle and a rhombus, then it’s a square (neither the reverse of the definition nor the converse of a property).

3,000 marbles in 200 jars

Answers

Answer:

15 marbles in a jar.

Step-by-step explanation:

[tex]\frac{y}{3000} :\frac{1}{200}[/tex]

y · 200 = 3000 · 1

200y = 3000

200y ÷ 200 = 3000 ÷ 200

y = 15

Answer:

15 marbles in each jar don't know if that's what you're asking.

Step-by-step explanation:

but thx for points

Whats 300+300

' ' '' '

Answers

Answer:600

Step-by-step explanation:

HELP!!!!

What is the total surface area of the figure?


Answers

Answer:

200cm

Step-by-step explanation:

Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.

Answers

Answer:

2n^3

Step-by-step explanation:

Please help me worth 10 points

Answers

Answer:

7.85

Step-by-step explanation:

firstly convert the 45 deg into radians

which is 0.785398 rads multiply it by ten ..

using the formula s=r∅

Answer:

Correct Answer Is 7.85

Step-by-step explanation:

Since 45 degrees is 1/8th of a circle Then you would find the circumference divided by 8.

10= Radius Then Circumference= 62.83

(Divide Circumference by 8) = 7.85 (Answer)

find the component form of -u-v given that u = -2,3 and v= 2, -4

Answers

Answer:

0,-1

Step-by-step explanation:

Paige is ⅕ her mother's age. If the sum of their ages us 30, how old is Paige?​

Answers

Answer:

I think it's 6 but im not sure

hope this helps

have a good day :)

Step-by-step explanation:

Write the algebraic expression for “twice a number n decreased by seven”

Answers

Answer:

2n - 7

Step-by-step explanation:

PLEASE HELP ME ! IMAGE IS BELOW IF YOU GET IT RIGHT I'LL MARK BRAINLIEST

Answers

Answer:

x = 17

y = 8

QPR = 35º

QRP = 60º

Step-by-step explanation:

2x + 1 = x + 18

Subtract x from both sides

x + 1 = 18

Subtract 1 from both sides

x = 17

QPR = 2x + 1

QPR = 2(17) + 1

QPR = 35º

-------------------------------

8y - 4 = 4y + 28

Subtract 4y from both sides

4y - 4 = 28

Add 4 to both sides

4y = 32

Divide both sides by 4

y = 8

QPR = 8y - 4

QRP = 8(8) - 4

QRP = 60º

the net of the rectangular prism is shown below. use a ruler to measure the dimensions of the net to the nearest half centimeter. what is the total surface area of the prism? can someone pls answer this i need the answer asap

Answers

Answer:

the answer is D.  40.5 cm

Write the equation as a single logarithm.

Pls help!!

Answers

Answer: C

Step-by-step explanation:

Just move the number by the log above the equation

whats 7 over 4 =35 over m in solving proportions NO LINKS PLZ

Answers

Hey there!

7/4 = 35/m

CROSS MULTIPLY BOTH of your NUMBERS

7(m) = 4(35)

7(m) = 7m

4(35) = 140

NEW EQUATION: 7m = 140

DIVIDE 7 to BOTH SIDES

7m/7 = 140/7

CANCEL out: 7/7 because that gives you 1

KEEP: 140/7 because that gives you the value of m

140/7 = m

Solve above and you have the answer of m

140/7 = 20

Therefore, the value of m = 20

Answer: m = 20

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

help please it’s easy I think :^

Answers

Answer:

F i think

Step-by-step explanation:

(this is 12 year old math)​

Answers

Answer:

orange

6

9

14

yellow

6

Step-by-step explanation:

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