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A ladder leans against the side of a house. The angle of elevation of the ladder is 64 degrees
, and the top of the ladder is 13 ft from the ground. Find the length of the ladder. Round your answer to the nearest tenth.

A ladder leans against the side of a house The angle of elevation of the ladder is 64 degrees and the top of the ladder is 13 ft from the ground Find the length class=

Respuesta :

wegnerkolmp2741o

Answer:

The length of the ladder is 14.5 ft

Step-by-step explanation:

For a right triangle

sinx = opposite / hypotenuse

Since we know the angle and the opposite side, we can calculate the hypotenuse

sin 64 = 13/ hypotenuse

Multiply each side by the hypotenuse

hypotenuse * sin 64 = 13

Divide by sin 64

hypotenuse = 13/sin 64

hypotenuse=14.4638

Rounding to the nearest tenth

14.5

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