Question

Find the value of x rounded to the nearest tenth.

Answer 1

tan80 = 5.6 ~> x = 500/5.6 = 88.18
-> x = 90

Answer 2

88.2

Explanation:

The mnemonic SOH CAH TOA reminds you the ratio of opposite to adjacent sides of an angle in a right triangle is ...

Tan = Opposite/Adjacent

Multiplying by "adjacent" and substituting the given values, we get ...

x = 500·tan(10°) ≈ 88.2

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Of course, the calculator in the attached picture is in degrees mode.