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 fr

Question

Fantom [35]

3 years ago

9

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 fr

om the top of the ladder to the ground. (round your answer to one decimal place.

Mathematics

2 answers:

lisabon 2012 [21] · Answer 1 · 2022-03-25T21:23:35+03:00

lisabon 2012 [21]3 years ago

6 0

Sin80=h/15

(because h is opposite the angle of elevation and 15 is the hypotenuse)

h=15sin80=14.77

h=14.8 ft (rounded to the nearest tenth of a foot)

Stella [2.4K] · Answer 2 · 2022-03-25T23:42:43+03:00

<h2>The height from the top of the ladder to the ground is 14.77 ft</h2>

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

$sin80=\frac{h}{15}\\\\h=15\times sin80=14.77ft$

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