anabelle99orkf3o anabelle99orkf3o
  • 01-02-2018
  • Mathematics
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Use the diagram of the right triangle above and round your answer to the nearest hundredth.
If b is 23 ft and tan A is 1.0, what is a?

Use the diagram of the right triangle above and round your answer to the nearest hundredth If b is 23 ft and tan A is 10 what is a class=

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Edufirst
Edufirst Edufirst
  • 01-02-2018
Answer: a = 23 ft.

Reasoning:

The question asks for the value of the leg a, given the tangent of the opposite angle and the length of the adjacent-leg, b.

The ratio that relates the three parameters is:

tan(A) = opposite-leg / adjacent-leg = a / b = a / 23 ft

Solve for a, wich is the unknown:

a = 23ft * tan(A) = 23ft * 1.0 = 23 ft

Answer: 23 ft.
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