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Anna35 [415]
3 years ago
11

A 12 foot ladder leans against a wall, making an angle of 40° with the horizon. How far is the base of the ladder from the wall?

Mathematics
1 answer:
olga_2 [115]3 years ago
6 0

the base of the ladder is 18ft away from the wall

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Need help with this asap!
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Answer:

The answer to your question is   b = 8.06 cm

Step-by-step explanation:

Data

hypotenuse = c = 9 cm

long leg = b = ?

short leg = a = 4 cm

Process

This is a right triangle so we must use the Pythagorean theorem to find the length of the long leg (b)

                      c² = a² + b²

-Solve for b²

                      b² = c² - a²

-Substitution

                      b² = 9² - 4²

-Simplification

                       b² = 81 - 16

                       b² = 65

-Result

                      b = 8.06 cm

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