Question

2 points

6. The drawing below shows a ladder leaning against a building. Part A:
How tall is the building? Round your answer to the nearest tenth. Show or
explain your answer using words, numbers, and/or symbols in your
explanation.
YOZ
10 ft
Your answer

Answer 1

Height = 17.3 ft

Explanation:

The diagram depicts a right angled triangle and will be solved using Pythagoras theorem.

Represent the length of the ladder with L

L = 20

Represent the distance between the ladder and thr building with B

B = 10

Represent the height with of the building with H

Solving for H, we have

H² + B² = L²

H² + 10² = 20²

H² + 100 = 400

H² = 400 - 100

H² = 300

H = √300

H = 17.320508075688772

H = 17.3 (approximated)

Hence, the height of the building is 17.3 ft