Question

A 20­ft ladder is leaning against a house. The bottom of the ladder is 3 ft from the house. To the nearest tenth of a foot, about how high does the top of the ladder reach?

Answer 1

Answer: 19.8 ft

Explanation:

Use the Pythagorean Theorem formula to solve for how high the top of the ladder reach.

The formula says a^2 + b^2 = c^2

Where a and b are the two legs and C is the hypotenuse.

In this situation, the hypotenuse will be length of the ladder , and either a or b will be the length of the ladder from the building or the length of how long the ladder.

a will be 3 , and c will be 20. Input in the values into the formula and solve for b.

3^2 + b^2 = 20^2

9 + b^2 = 400

-9 -9

b^2 = 391

b =
`√(391)`

b = 19.77371 round to the nearest tenth is , 19.8