Question

A person whose eye level is 1.5 meters above the ground is standing 75 meters from the base of the jin mao building in shanghai, china. the person estimates the angle of elevation to the top of the building is about 80º. what is the approximate height of the building? round your answer to the nearest meter.

Answer 1

We can model the problem as a rectangle triangle.
We have:
base of the triangle.
Angle.
We want to find the height.
For this case we can use the following trigonometric relationship:
tan (80) = h / 75
Clearing h:
h = 75 * tan (80)
h = 425.3461365
round to the nearest meter:
h = 425 m
Answer:
The approximate height of the building is:
h = 425 m