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WORTH 20 POINTS, PLEASE ANSWER CORRECTLY! (THE ANSWER IS NOT 26.005)
A person noted that the angle of elevation to the top of a tree was 65 degrees at a distance of 11 feet from the tree. Using the diagram approximate the height of the tree.

5.128 feet

26.005 feet

12.14 feet

23.590 feet

WORTH 20 POINTS PLEASE ANSWER CORRECTLY THE ANSWER IS NOT 26005 A person noted that the angle of elevation to the top of a tree was 65 degrees at a distance of class=

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sqdancefan

Answer:

  23.590 feet

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationship between trig functions and sides of a right triangle:

  Tan = Opposite/Adjacent

Here, that means ...

  tan(65°) = height/(11 ft)

Multiplying by 11 ft, we get ...

  height = (11 ft)tan(65°) ≈ 23.5896 ft

  height ≈ 23.590 ft

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