To determine the height of the house, we can use trigonometry. Let's assume the height of the house is 'h' feet.
In a right-angled triangle, with the ground (sidewalk) forming the base, the height of the house acting as the opposite side, and the distance from the base to the house acting as the hypotenuse, we can apply the tangent function.
The tangent of an angle is equal to the length of the opposite side divided by the length of the adjacent side. In this case, the tangent of the angle of elevation is:
tan(58°) = h/25
To find the height 'h', we can rearrange the equation:
h = 25 * tan(58°)
Using a calculator, we can find that:
h ≈ 45.73 feet
Therefore, the height of your house is approximately 46 feet to the nearest foot.
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 of elevation to the top of your house is 58° how tall is your house to the nearest foot
1 answer