Question

A ladder leans against the side of a house. The angle of elevation of the ladder is 74° when the bottom of the ladder is 14 feet from the side of the house. Find the length of the ladder. Round your answer to the nearest tenth.

Answer 1

The length of the ladder is 50.8 ft

Explanation:

we are given

the angle of elevation of the ladder is 74° when the bottom of the ladder is 14 feet from the side of the house

So, firstly, we will draw diagram

we can see that

angle =74

base length =14

we have to find hypotenuse

so, we can use trig formula

`cos(74)=(14)/(L)`

now, we can solve for L

`L=(14)/(cos(74))`

we get

`L=50.7913ft`

So,

The length of the ladder is 50.8 ft