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35 votes
35 votes
A 10-foot ladder is leaning against the side of a house.

If the top of the ladder touches the house 9 feet above the ground, what is the angle made by the ladder and the ground?
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Round to the nearest tenth.

User Suneel Dixit
by
2.6k points

2 Answers

19 votes
19 votes

Answer:

The angle made by the ladder and the ground is 64.2 degrees

Explanation:

Sine = opposite(9) divided by hypotenuse(10)

9/10 =0.9

0.9 (inverse) = 64.15806724

User Sahil Purav
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2.7k points
21 votes
21 votes

Answer:

Placing a ladder up against a building will create a right triangle, with the legs being the ground and the building and the hypotenuse being the ladder. Since we have a right triangle and we know two sides, we can use the Pythagorean Theorem to solve for the 3rd:

62+b2=102

36+b2=100

b2=64

b=8

So the ladder will reach 8 feet up.

Hope this helps!

User Speciousfool
by
2.7k points