A 15-foot ladder is leaning against a house with the base of the ladder 4 feet from the house. How high up the house does the la dder reach? Round to the nearest tenth of a foot.
1 answer:
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
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