A radio station tower was built in two sections. From a point that is 70 feet from the base of the tower, the angle of elevation to the top of the section is 28 degrees, and the angle of elevation to the top of the second section is 40 degrees. What is the height of the top section of the tower to the nearest tenth of a foot?

Answer:

41.4feet

Step-by-step explanation:

Using the SOH CAH TOA identity

Given the following

Distance of Rafael from the tower = 55feet = Adjacent

Angle of elevation = 37degrees

Required

Height of the tower = Opposite

Since Tan theta = opp/adj

Tan 37 = x/55

x = 55tan37

x = 55(0.7536)

x = 41.4

Hence the tower is 41.4feet up the viewing platform

Answer:

3.8 quarts

Step-by-step explanation:

Answer:

how big is the hole ?

Step-by-step explanation:

i think the answer is B tho

pls give brainliest

Answer:

?

Step-by-step explanation:

Answer:

60 gallons

Step-by-step explanation:

144/12 = 12 mi/gal

720/12 = 60

Answer:

the missing side T-F is 8. the missing side F-K is 3.

Step-by-step explanation:

hope I helped

Answer:

(SR*ST)+(FK*KL)=66cm²

Step-by-step explanation:

RL=ST+F K

9= 6+x

F K=3

T F=8

Area of this figure= (3*2)+(6*10)

=6+60=66 cm²

Answer:

Step-by-step explanation:

100(14(6))/(3(7))

100(84/21)

100(4)

400%

Answer:

Pretty sure it's B!

Step-by-step explanation:

Over the Y axis- (2,1)

To the left two times= (0,1)

Hope this helped!

Answer:

(0,1)

Step-by-step explanation:

Since the problem is only asking about P', let's ignore the rest of the rectangle. P's coordinates are to be reflected across the y-axis, putting P' at (2,1). Move P' left by two units and your 'x' is 0, your 'y' is the same. So, (0,1)

Answer:

Option A

37°

Step-by-step explanation:

4x+ 2 = 150° [Vertically Opposite Angles]

=> 4x = 150 - 2

=> 4x = 148

[tex] = > x = \frac{148}{4} [/tex]

=> x = 37° (Ans)

Answer:

(4x+2)°=150°[by vertical opposite angles]

4x=150-2

4x=148

x=148/4

x=37

Step-by-step explanation:

count the number of full boxes

count yhe number of the unfull boxes

then add them together

divide the answer by two

Answer:

opposite word of disperse

The solution is

a) Angle N < Angle R < Angle Q

b) Angle G < Angle H < Angle J

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

a)

Let the first triangle be ΔNQR

QR = 17 m

NQ = 21 m

NR = 24 m

Now , the angle opposite to the side having the largest length will be the largest angle

And , the angle opposite to the side having the smallest length will be the smallest angle

So , substituting the values in the equation , we get

Angle opposite to QR = Angle N

Angle N is the smallest angle in ΔNQR

And , Angle opposite to NR = Angle Q

Angle Q is the largest angle in ΔNQR

Therefore , Angle N < Angle R < Angle Q

b)

Let the second triangle be ΔGHJ

HJ = 6 in

GJ = 7 in

GH = 10 in

Now , the angle opposite to the side having the largest length will be the largest angle

And , the angle opposite to the side having the smallest length will be the smallest angle

So , substituting the values in the equation , we get

Angle opposite to HJ = Angle G

Angle G is the smallest angle

Angle opposite to GH = Angle J

Angle J is the largest angle

Therefore , Angle G < Angle H < Angle J

Hence , the angles are in the order

a) Angle N < Angle R < Angle Q

b) Angle G < Angle H < Angle J

To learn more about triangles click :

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Answer:

both are true

Step-by-step explanation:

have a great day

Answer:

possibly $1

Step-by-step explanation:

don’t know how to explain but I hope this helps

Answer:

4454

Step-by-step explanation:

The answer is b) because one of the line passes through this point

Answer:

96cm

Step-by-step explanation:

4cm x 4cm x 6cm = 96scm

Answer:

35

Step-by-step explanation:

A triangle has a total of 180 degrees. To find the missing angle, we subtract 113 and 32 from 180 to get the answer.

Answer:

h = 35

Step-by-step explanation:

113 + 32 + h = 180

113 + 32 = 145

180 - 145 = 35

so

h = 35

remember me? Imao

Answer:

Step-by-step explanation:

Let us represent

Boxed candles = x

Bag of chips = y

Rafael got 3 boxed candies and 1 bag of chips for $6.99.

3x + y = 6.99....Equation1

His sister got 2 bags of chips and 1 boxed candy for $5.98.

x + 2y = 5.98......Equation 2

Find the cost for 1 of each of these items in dollars.

Answer:

nah and yall kids stop looking on here to cheat ronnie wilson

Step-by-step explanation:

Step-by-step explanation:

if 9 boxes is 42.75 then 1 box is 4.75 dollars

so 13 boxes would be 13X3.75 which is 61.75$

if 9b=$42.75

1b=x

9bx=$42.75b

x=$42.75b÷9b

x=$4.75

Answer:

1219 square feet

Step-by-step explanation:

cause

Answer:

3x - 2

Step-by-step explanation:

[tex]4x + 2 - \frac{ {x}^{2} + x - 12}{x - 3} \\ \\ = 4x + 2 - \frac{ {x}^{2} + 4x - 3x- 12}{x - 3} \\ \\ = 4x + 2 - \frac{ {x}(x + 4) - 3(x + 4)}{x - 3} \\ \\ = 4x + 2 - \frac{ (x + 4) \cancel{(x- 3)}}{\cancel{(x- 3)}} \\ \\ = 4x + 2 - (x + 4) \\ \\ = 4x + 2 - x - 4 \\ \\ = 4x - x + 2 - 4 \\ \\ = 3x - 2[/tex]

Answer:

Step-by-step explanation:

[tex]\text{rule }(x^a)(x^b)=x^{(a+b)}\\ \\ (b^{-7})(b^3)=b^{(-7+3)}\\ \\ b^{-4}=\frac{1}{b^4}[/tex]

Answer:

1/ b^4

Step-by-step explanation:

because -7 +3 = -4 but it can only be positive. So you but the -4 to the bottom to become b^4

Answer:

11

Step-by-step explanation:

21/3+4

7+4

11

.......

Answer: The chosen topic is not meant for use with this type of problem. Try the examples below.

Step-by-step explanation:

Answer:

Chapter 2 Review WS. Period: Date: 1. A transversal intersects two parallel lines. ... 2. Find the measure of angles 1-4 and 6-8, using the following diagram. meisen ... 4. Find the measure of angles 1-7 given that lines m and n are parallel and t is transversal. ... Find the measure of angle 1. m24 = 123, mZ1 = 2x, mZ2 = x +42.

Step-by-step explanation:

Step-by-step explanation:

<c =90 °

So, Pythagoras theorem can be used,

Hypotenuse ² = base ² + altitude ²

AB²=AC²+BC²

11²=AC²+4²

11²-4²=AC²

121-16=AC²

Root 105=AC

AC=10.2 cm

The length of AC is 10.25 cm

If ΔABC is a right angle triangle, then

AB² = BC²+AC²

where AB = Hypotenuse, BC & AC are adjacent sides of the right angle

Given, hypotenuse = AB = 11 cm

One of adjacent sides = BC = 4 cm

We have to find the length of AC.

Using pythagorean theorem,

AB² = BC²+AC²

⇒ AC² = AB² - BC²

⇒ AC² = 11²-4²

⇒ AC² = 121-16

⇒ AC = √105

⇒ AC = 10.25

So the length of AC = 10.25 cm

Learn more about pythagorean theorem here :

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Answer:

Nobody can answer this question if you don't tell us what are the ratios that are 'below'. We have no answers to choose from...

Answer:

[tex]\angle EHG = 80[/tex]

Step-by-step explanation:

Given

ABC ∼ EHG

See attachment

Required

Determine [tex]\angle EHG[/tex]

First, we calculate x in ABC

[tex]x + 2x + 60= 180[/tex]

[tex]3x + 60= 180[/tex]

[tex]3x = 120[/tex]

[tex]x = 40[/tex]

The corresponding angle to [tex]\angle EHG[/tex] is [tex]\angle ABC[/tex]

and

[tex]\angle ABC = 2x[/tex]

[tex]\angle ABC = 2 * 40[/tex]

[tex]\angle ABC = 80[/tex]

Hence:

[tex]\angle EHG = 80[/tex]

Answer:

irregular heptagon

Step-by-step explanation:

Answer:

The answer is 4/3. I hope it's corect and this helps.

Step-by-step explanation:

Answer:

I dunno man

Step-by-step explanation: