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14 A ladder 10m long leans against a wall and make 45" with the ground. What is the height of the wall? 14 A ladder 10m long leans against a wall and make 45 " with the ground . What is the height of the wall ?​

User Richard Butterwood
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2 Answers

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13 votes

Answer:

A 10m ladder is leaning against a wall. The ladder makes an angle of 78o with the ground. How high up the wall does the ladder reach? Please include a diagram in the answer.

Th function you need is the sine function. The sine of 78° is about 0.978. That is the ratio of the opposite side (wall) over the hypotenuse (ladder) of the right triangle in this problem.

10 m · sin 78° = 10 m · 0.978 = 9.78 meters.

The ladder reaches 9.78 meters up on the wall.

Explanation:

User Fregas
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14 votes
14 votes
The wall is 7.07m, or if rounding, 7m
14 A ladder 10m long leans against a wall and make 45" with the ground. What-example-1
User Brendanjerwin
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