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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.

Respuesta :

irspow
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)

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

              [tex]sin80=\frac{h}{15}\\\\h=15\times sin80=14.77ft[/tex]

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

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