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tia_tia [17]
3 years ago
12

A woman whose eyes is 1.6 m above The ground find that the angle of elevation to the top of her house is 12°. If she is 40 m fro

m the base of her house, how tall is her house?
Mathematics
1 answer:
Nuetrik [128]3 years ago
6 0

Answer:

The height of house is 8.48 m

Step-by-step explanation:

Given as :

The angle of elevation to the top of house = 12°

The measure from base of house = 40 m

Let the height of house = h m

So, Tan\theta = \frac{Perpendicular}{Base}

Or,  Tan12^{\circ} = \frac{Height}{40}

Or, 0.212 = \frac{Height}{40}

∴   Height = 40 × 0.212 = 8.48 m

Hence The height of house is 8.48 m    Answer

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======================================================

Explanation:

Let's say there are 100 households (just for the sake of simplicity). We are told that 90% of them have answering machines. So that means 90 households have answering machines. In addition, 50 households have answering machines and call waiting. Those 50 households are part of the 90 mentioned previously.

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