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Dennis_Churaev [7]
4 years ago
14

Eric leans a ladder against the roof of his house so that the ladder forms a 70 degree angle with the ground. The roof of the ho

use is 13 feet above the ground. How far is the bottom of the ladder from the base of the house? Round the answer to the nearest tenth.

Mathematics
1 answer:
Shalnov [3]4 years ago
8 0
Check the picture below

make sure your calculator is in Degree mode, since the angle is in degrees

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Use the relationship between the angles in the figure to answer the question.
vesna_86 [32]
<h2>Given↷</h2>
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<h2>To find↷</h2>
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<h2>Answer↷</h2>
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<h2>Solution↷</h2>

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3 0
2 years ago
Pythagorean
nata0808 [166]

Answer:

5√3 ft

Step-by-step explanation:

If the ladder is 10ft tall, then that represents the hypotenuse. If the foot of our ladder is 5ft away from the wall, that is a side length that we know. Using the Pythagorean Theorem, a²+b²=c², where a and b are side lengths of a right triangle, and c is the hypotenuse, we can solve for the missing side length:

a²+b²=c²

(5)²+b²=(10)²

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b²=75

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So the ladder will reach a height of 5√3 ft.

7 0
3 years ago
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