A ladder leans against the side of a house. The angle of elevation of the ladder is 67 degrees when the bottom of the ladder is

Question

3 years ago

13

14 ft from the side of the house. Find the length of the ladder.

1 answer:

Lynna [10] · Answer 1 · 2022-02-18T21:31:41+03:00

Answer:

32.98 ft

Step-by-step explanation:

What you have right there is a triangle.

The base of the triangle is given (14 ft)

The angle from the ladder makes while leaning on the house is 67 degrees.

This is a simple trigonometry problem

You want to find the length of the ladder and you don't have the hypotenuse

So you can use the function tan to find it.

tan(Ф) = opposite/adjacent

You are looking for the opposite side length

So you do tan(Ф) * adjacent = opposite

tan(67) * 14 = 32.98 ft