Question

if you’re standing on the street 1,300 feet from the bottom of the building, you have to look up at a 23 degree angle to see the top. How tall is the building ? explain or show your reasoning.

Answer 1

551.82feet tall

Explanation:

WE are given the following from the question;

Distance of me from the bottom of the building = 1300feet (adjacent)

Angle of elevation = 23 degrees

Required

Height (opposite)

Using the SOH CAH TOA identity

Tan theta = opp/adj

Tan 23 = H/1300

H = 1300tan23

H = 1300(0.4245)

H = 551.82feet

Hence the building is 551.82feet tall