Question

a ladder 15 feet long leans against a house and make a angle of 60 degrees with the ground . find the distance from the house to the foot of the ladder .

Answer 1

We can use the next diagram in order to solve the question

we need to find x, x is the distance from the house to the foot of the ladder, we will use a trigonometric function in order to find x in this case we will use the cosine

`\cos (\theta)=(AS)/(H)`

where

θ= 60°

AS=x

H=15 ft

we substitute the values

`\cos (60)=(x)/(15)`

we need to isolate the x

`x=\cos (60)(15)=7.5ft`

the distance from the house to the foot of the ladder is 7.5 ft