Question

A ladder that is 15 feet long leans against the side of a house. the angle of elevation of the ladder is 80°. find the height from the top of the ladder to the ground. (round your answer to one decimal place.

Answer 1

The height from the top of the ladder to the ground is 14.6 feet.

Step-by-step explanation:

To find the height from the top of the ladder to the ground, we can use trigonometry. The length of the ladder forms the hypotenuse of a right triangle, with the height from the ground as the opposite side and the distance from the ladder to the house as the adjacent side. We can use the sine function to find the height.

Sine(theta) = opposite/hypotenuse

Sine(80°) = height/15 feet

height = Sin(80°) * 15 feet

height = 14.6 feet (rounded to one decimal place)

Answer 2

The height from the top of the ladder to the ground is 14.77 ft

Step-by-step explanation:

A ladder that is 15 feet long leans against the side of a house

Length of ladder = 15 feet

The angle of elevation of the ladder is 80°

Refer the given figure

We need to find height h.

We have

`sin80=(h)/(15)\\\\h=15* sin80=14.77ft`

The height from the top of the ladder to the ground = 14.77 ft