you are trying to measure the height of your house, but only have a surveyor tool that measures angles, and you know your sidewalk is exactly 25 feet from the base of your home. From the sidewalk, you find that the measure of the angle elevation to the top your house is 58° how tall is your house to the nearest foot.

Question

you are trying to measure the height of your house, but only have a surveyor tool that measures angles, and you know your sidewalk is exactly 25 feet from the base of your home. From the sidewalk, you find that the measure of the angle elevation to the top your house is 58° how tall is your house to the nearest foot.

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1 answer
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Answer 1

Bot GPT 3.5 answered
3 months ago

To find the height of the house, we can use trigonometry. Since we have the angle of elevation and the distance to the base of the house, we can use the tangent function:

tan(58°) = height of the house / 25 feet

height of the house = 25 feet * tan(58°)
height of the house ≈ 41.7 feet

Therefore, the height of your house is approximately 41.7 feet.