Question

Point P is a point on the ground 12.3 metres from the base of a building with height h metres. The angle of elevation from the ground to the top of the building from point P is 63º. Calculate the height h of the building. Round your answer to 1 decimal place.

Answer 1

To find the height of the building, we can use the tangent function to solve for h.

Step-by-step explanation:

To find the height of the building, we can use the tangent function. Let's call the height of the building h. The tangent of the angle of elevation is equal to the height of the building divided by the distance from the base of the building to point P:

tan(63°) = h / 12.3

To solve for h, we can multiply both sides of the equation by 12.3:

h = 12.3 tan(63°)

Calculating this expression gives us the height of the building.