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Ostrovityanka [42]
3 years ago
14

A painter leans a 34-ft ladder against a building. The base of the ladder is 16 ft from the building. To the nearest foot, how h

igh on the building does the ladder reach?
A) 30 feet
B) 38 feet
C) 26 feet
D) 18 feet
Mathematics
2 answers:
Gnesinka [82]3 years ago
4 0

Answer:

The height reached by ladder on the building is 30 ft.

Step-by-step explanation:

Let x be the height reached by ladder on the building.

Since, the building must be perpendicular with respect to surface,

Thus,

(The length of the ladder)² = (The  base of the ladder from the building)² + ( The height reached by ladder on the building)²

Given,

The length of the ladder = 34 ft,

The  base of the ladder from the building = 16 ft.

So,

34^2 = 16^2 + x^2

1156 = 256 + x^2

1156 - 256 = x^2

900 = x^2

\implies x = 30

Hence, the height reached by ladder on the building is 30 ft.

dybincka [34]3 years ago
3 0
Answer = A). 34 squared minus 16 squared = 900. Square-root that to get 30.

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