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gregori [183]
3 years ago
9

Steve wants to find the height of a radio tower in his neighborhood. He places a mirror on the ground 30 feet from the tower and

walks backwards 3 feet until he can see the top of the tower in the mirror. Steve is 5 ft 6 in tall. How tall is the radio tower in feet? ​

Mathematics
1 answer:
Sindrei [870]3 years ago
8 0

Answer:

<h2>55 ft</h2>

Step-by-step explanation:

1ft = 12in → 6in = 0.5ft → 5ft 6in = 5.5ft

Look at the picture.

We know: the angle of incidence is equal to the angle of reflection (α).

We have two similar right triangles (AA). Therefore the corresponding sides are in proportion:

\dfrac{h}{5.5}=\dfrac{30}{3}

\dfrac{h}{5.5}=10             <em>multiply both sides by 5.5</em>

h=55

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Answer:

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6) y=(-1/4)x+(6)

Step-by-step explanation:

1) y=mx+b  3=(-1/4)(-1)+b  b= 11/4

2) y=mx+b  -5=(4)(7)+b  b= -33

3) y=mx+b  -5=(2/3)(-2)+b  b= -11/3

4) y=mx+b  3=(5)(1)+b  b= -2

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6) y=mx+b  7=(1/4)(4)+b  b= 6

6 0
3 years ago
∠AZB and ∠CZB are supplementary. The m∠AZB = 2x - 4 and m∠CZB = 8x + 4. What is the measure of each angle?
g100num [7]
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Records at an insurance company showed that the first 30 customers made an average of 5 claims each through their lifetime. Afte
umka2103 [35]

The average of the 75 customers will be 6.4.

<h3>How to calculate the value?</h3>

The first 30 customers made an average of 5 claims each. The total claims will be:

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When 75 more people were assessed, the average was 6. Therefore, the total claims will be:

= (75 + 30) × 6

= 105 × 6

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Therefore, the average of the 75 customers will be:

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2 years ago
Solve using any method.
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Fourth one since x is 2 and the y is 1
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