Question

The angle of elevation of a ladder leaning against a wall is 48°. If the ladder is 25 feet long, how far is the base of the ladder from the wall?
A. 18.58 feet
B. 16.73 feet
C. 37.16 feet
D. 33.46 feet
@Squirrels
@mathmate
@mathmale
@jcpd910
@dan815

Answer 1

USE SOH CAH TOA

Answer 2

COS 48 deg = A/25
solve for A

Answer 3

Sin opposite hyp
cos adjacent hyp
tan opp adj

Answer 4

for the cos 48 i got 0.6691360635885821382627333068678

Answer 5

Cos(48) = Adjacent/Hypotenuse = Base/25

Answer 6

If you want to solve for base you must do 1 more step

Answer 7

0.6991306 = Base/25

Answer 8

This is you're result so far

Answer 9

it is 16.73
I had to have the angle against the wall (45) and the length of the hypotenuse (25ft) and you want to find the adjacent side. so for this we need to use 'cos' (CAH = cos(angle) =adjacent/hypotenuse)
therefore:

cos(45)=?/25
rearrange to get 25cos(45)=?
type into calculator to get 16.73 feet

Answer 10

Correct

Answer 11

Jumps up and down YAYAYA