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Aleksandr-060686 [28]
3 years ago
13

A ladder leans against the side of a house. The angle of elevation of the ladder is 64 degrees

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
5 0

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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