jacobgar812
contestada

A ladder 15 feet long leans against a house and makes an angle
of 60° with the ground. Find the distance from the house to the
foot of the ladder.
A 13 feet
)
B 7.5 feet
C 10 feet
D
8.2 feet

Respuesta :

Answer:

B

Step-by-step explanation:

assume a right angle between the house and the ground.

then the ladder is the hypotenuse and distance from ladder to house is d

using the cosine ratio in the right triangle and the exact value

cos60° = [tex]\frac{1}{2}[/tex] , then

cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{d}{15}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2x = 15 ( divide both sides by 2 )

x = 7.5

distance from house to foot of ladder is 7.5 feet

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