Jamal is hanging some lights on his house. His ladder is 12 feet long and makes an 80˚ angle with the ground. How high up the wall of his house will his ladder reach? Round your answer to the nearest hundredths place. Just enter a numeric answer, no units needed.

Respuesta :

no no english sir i can’t understand def not speaking no english yuh no no english i so sorry yeah no english

The ladder will reach 11.82 ft high of the wall of his house.

The situation will form a right angle triangle. Therefore,

The length of the ladder is the hypotenuse of the triangle formed.

The height of the wall is the opposite side of the triangle.

Therefore,

using trigonometric ratio,

sin 80°  = opposite / hypotenuse

sin 80° = h / 12

cross multiply

h = 12 sin 80°

h = 12 × 0.98480775301

h = 11.8176930361

height of the wall ≈ 11.82 ft

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