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A 15 foot ladder leans against a house with the base of the ladder 4 feet from the house. How high, to the nearest foot, up the wall will the ladder reach? ​

Respuesta :

Autumn6740

Answer:

height of house to ladder reach is 14 ft

Explanation:

Given data

ladder = 15 ft

base = 4 ft

to find out

height of house

solution

we know this is triangle shape so we apply here

so we consider here x is ladder and y is base and z is height

so

by pythagoras theorem

z² + y² = x²

so here

z² = x² - y²

put value

z² = 15² - 4²

z² = 209

z = 14.45 = 14

so height of house to ladder reach is 14 ft

Step-by-step explanation:

The ladder and the ground form a right triangle. Use the Pythagorean Theorem to find the other leg of the triangle.

a^2 + b^2 = c^2

a^2 + 4^2 = 15^2

a^2 + 16 = 225

a^2 = 209

a = 14.5 feet

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