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An electrician leans an extension ladder against the outside wall of a house so that it
reaches an electric box 35 feet up. The ladder makes an angle of 79° with the ground.
Find the length of the ladder. Round your answer to the nearest hundredth of a foot if
necessary.

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Answer:

35.66 feet

Step-by-step explanation:

Draw the scenario

We will use trigonometry to solve for the ladder length.

We are given the opposite, and we are looking for the hypotenuse, so we will use sin

We get an answer of 35.65, the question asks us to round to the nearest hundredth, so the answer is 35.66

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onyebuchinnaji

The length of the extension ladder against the outside wall of the house is 35.66 ft.

Length of the ladder

The length of the ladder is obtained from trignometry fuction by considering the length of the ladder as the hypotenuse side, height of the eletric box as height of the right triangle and the distance between the ladder and the eletric box as the base of the right triangle.

  • Let the length of the ladder = L
  • Let the height = h

sin(θ) = h/L

L = h/sinθ

L = (35) / sin(79)

L = 35.66 ft

Thus, the length of the extension ladder against the outside wall of the house is 35.66 ft.

Learn more about length of right triangle here: https://brainly.com/question/2217700

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