High School

We appreciate your visit to A ladder that is 32 ft long leans against a building The angle of elevation of the ladder is 70 degrees To the nearest tenth. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

A ladder that is 32 ft long leans against a building. The angle of elevation of the ladder is 70 degrees. To the nearest tenth of a foot, how high off the ground is the top of the ladder?

A. 20.3 ft
B. 10.9 ft
C. 26.2 ft
D. 39.1 ft

Answer :

To calculate how high the ladder is off the ground we shall use he formula:
sin θ=opposite/ hypotenuse
from the information given:
from angle of elevation we shall have θ=90-70=20°
hypotenuse=length of the ladder=32 ft
opposite,x= distance off the ground
thus plugging the values in the formula we get:
sin 20=x/32
thus
x=32 sin 20
x=10.94465 ft
x~10.9 ft
the correct answer should be 30.1 ft

Thanks for taking the time to read A ladder that is 32 ft long leans against a building The angle of elevation of the ladder is 70 degrees To the nearest tenth. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada