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21 votes
21 votes
Really need help with this problem

Really need help with this problem-example-1
User Michael Emerson
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2 Answers

25 votes
25 votes

Answer:

0.78

Explanation:

BC = 48

AB = 61

X=?

NOW,

IN ️ ABC

sin x° = BC/AB

sin x° = 48/61

x = 0.78

User Mandeep Janjua
by
2.8k points
26 votes
26 votes

Answer:

38.2°

Explanation:

The mnemonic SOH CAH TOA reminds you of the relevant relation:

Tan = Opposite/Adjacent

In this context, it means ...

tan(A) = CB/AB

tan(x°) = 48/61

The inverse tangent function is used to find the angle when you know its tangent.

x° = arctan(48/61) ≈ 38.2°

_____

Additional comment

On many scientific and graphing calculators, the inverse tangent function is the 2nd function of the tan key. It may be labeled tan⁻¹. Usually, the calculator will have a mode setting that allows you to select the units used for presentation of the angle. You many have to choose degrees if the calculator is giving you a number less than 1.

User Witiko
by
2.9k points