133,001 views
42 votes
42 votes
A 25 foot ladder leans aganist the side of the house. The base of the ladder is 12 ft. from the house level ground. Find, the nearest degeee the measure of an angle that the ladder makes with the ground.

A 25 foot ladder leans aganist the side of the house. The base of the ladder is 12 ft-example-1
User Danarj
by
2.4k points

1 Answer

29 votes
29 votes

Let's begin by listing out the information given to us:

Hypotenuse = 25 ft

Base = 12 ft

We have two known sides & we are to find the angle the ladder makes with the ground. We will use Trigonometric Ratio (SOHCAHTOA). In this case, CAH

Cos C = 12/25⇒ Cos C = 0.48

C = 61.3 = 61

C = 61° (to the nearest degree)

User User User
by
3.4k points