Aladder 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.

The length of the ladder is 50.8 ft

Step-by-step 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

now, we can solve for L

we get

So,

The length of the ladder is 50.8 ft