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a 14 ft ladder is leaning up against a building. the ladder makes a 45 degree angle with the building. how far up the building does the ladder reach?



Answer :

mathstudent55

Answer:

9.9 ft

Step-by-step explanation:

The ladder makes a 45-degree angle with the building. The vertical wall of the building makes a 90-degree angle with the ground. The angle between the ladder and the ground is also 45 degrees.

The triangle is a 45-45-90 right triangle.

The ratio of the lengths of sides of a 45-45-90 right triangle is

1 : 1 : √2

1/√2 = x/14

√2 × x = 14

x = 14/√2

x = 9.9

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