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A 20-foot ladder leans against a wall, making a 70° angle with the ground. To the nearest tenth of a foot, how far up the wall will the ladder reach? 6.8 6.9 I 3) 18.7 18.8​

User Dan Bergh Johnsson
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1 Answer

13 votes
13 votes

Answer:

4) 18.8

Explanation:

What we are trying to find is the opposite of the triangle with the angle and the hypotenuse. The equation for that is sin(degrees) = opp/hyp

the degrees is 70, the opposite is x, and the hypotenuse is 20

sin(70) = x/20

0.93969262078 = x/20

18.7938524 = x

18.7938524 rounds to 18.8 so the answer is 4

User Carst
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