MATH SOLVE

5 months ago

Q:
# 3. A ladder that is 20 feet long is leaning against the side of a building. If the angle formed between the ladder and the ground is 75 degrees, how far is the bottom of the ladder from the base of the building?

Accepted Solution

A:

Answer:
Distance of bottom of the ladder from the base of the building is 5.18 feet. Step-by-step explanation:Given:Length of ladder = 20 feet
Angle formed between ladder and ground = 75 degrees.To Find:Distance of bottom of the ladder from the base of the building.
Solution:
Consider the below figure forming a triangle ABC.
AB is building AC is ladder , so AC = 20 feet
BC is distance between base of building and bottom of ladder.
And angle between ground and ladder that is ∠C = 75degreesNeed to calculate BC , As triangle ABC forms right angled triangle , right angle at B ,
So [tex]cos C =\frac{ BC}{AC}[/tex]
=> BC = AC cos C => BC= 20 cos (75)=> BC = 5.18 feet
Hence distance of bottom of the ladder from the base of the building is 5.18 feet.