A spotlight is mounted on the eaves of a house 3030 feet above the ground. a flower bed runs between the house and the sidewalk, so the closest the ladder can be placed to the house is 1616 feet. how long a ladder is needed so that an electrician can reach the place where the light is mounted?

Question

Tiana Dickson

Mathematics

4 October, 19:56

A spotlight is mounted on the eaves of a house 3030 feet above the ground. a flower bed runs between the house and the sidewalk, so the closest the ladder can be placed to the house is 1616 feet. how long a ladder is needed so that an electrician can reach the place where the light is mounted?

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Answers (1)

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Rene Barber · Answer 1

For this case we can model the problem as a rectangle triangle.

We have two sides.

We want to find the hypotenuse of the triangle.

We have then:

h = root ((30) ^ 2 + (16) ^ 2)

h = 34 feet

Answer:

is needed a ladder of 34 feet long so that an electrician can reach the place where the light is mounted