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20 votes
20 votes
An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 31 feet up. The ladder makes an angle of 78

with the ground. Find the length of the ladder. Round your answer to the nearest tenth of a foot if necessary.

User Charles Anderson
by
3.0k points

2 Answers

19 votes
19 votes

Answer:

30.7 ft ladder length

Explanation:

The ladder makes the hypotenuse of a right triangle

31 feet is the opposite leg of 78 degree angle

sin 78 = opposite / hypotenuse

sin 78 = 30/ hypot

30 / (sin 78 ) = hypotenuse = 30.7 ft

User Yuri Ghensev
by
3.4k points
8 votes
8 votes

Answer:31.7

Explanation:

User Sunny Garg
by
2.6k points