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Romashka-Z-Leto [24]
3 years ago
10

A ladder is placed 30 inches from a wall. It touches the wall at a height of 50 inches from the ground. The angle made by the la

dder with the ground is
59.04 degrees, and the length of the ladder is __
inches.
Mathematics
1 answer:
Lady bird [3.3K]3 years ago
4 0

Answer:

applying trigonometry

base= 30inches

height= 50inches

angle between ladder and ground = 59.04°

for the length of the ladder...

sin59.04 = opposite side ÷ hypotenuse

sin59. 04 = 50inches ÷ hypotenuse

0.8575 = 50 inches ÷ hypotenuse

cross multiply;

hypotenuse = 50inches ÷ 0.8575

the length of the ladder = 58.309inches

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