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a 10-foot ladder leaned against the wall so that the ladder in the wall for my 30° angle what is the distance to the nearest 10th of a foot from the ground to the point where the ladder touches the wall 

2 Answers

1 vote

Answer: 8.7

Explanation:

10(cos 30)=8.7

User Kshatriiya
by
9.0k points
4 votes

Answer:

8.7 ft

Explanation:

Picture a right triangle with the ladder (10ft) as the hypotenuse, the missing leg (x) as the distance from the ground to the top of the ladder where it touches the wall, and the ladder making a 30° angle with the wall.

x = 10(cos30) = 8.66 ≈ 8.7 ft

User Krystl
by
8.3k points