Answer:
Height = 17.3 ft
Step-by-step 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
