Question

A surveyor is standing at a distance of 50 feet from the base of a building. From this point, the angle of elevation to the top of the building is 30°. The height of the building is approximately feet.

Answer 1

Answer:

The height of the building is approximately 29 feet

Step-by-step explanation:

We are given

A surveyor is standing at a distance of 50 feet from the base of a building

so, b=50 feet

Let's assume height of the building is h feet

angle of elevation is 30°

$\theta=30$

we can use trig to find h

$tan(\theta)=\frac{h}{b}$

now, we can plug values

$tan(30)=\frac{h}{50}$

$h=50\times tan(30)$

$h=28.8675$

Answer 2

Answer:

tan(30°) = h/50 --> h = 50 * tan(30°) = 28.87 ft

Do you agree?