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38 votes
38 votes
I’ve tried calculating it on my own but what I get is no where near the answers?

I’ve tried calculating it on my own but what I get is no where near the answers?-example-1
User Tomwassing
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2.0k points

1 Answer

17 votes
17 votes

Given data:

It is clear from the given image that the triangle is a right angle triangle.

Right angle is at

In a triangle right angle is at C so the hypotenues is always opposite to the right angle that is AB.

Finding the angle B, use trigonometric identity


\tan \theta=(perpendicular)/(base)

Here, perpendicular is AC because it is always opposite to the angle which we need to find.

AC = 9

Base, BC = 10

Therefore , we have


\tan \theta=(9)/(10)
\begin{gathered} \theta=\tan ^(-1)(0.9) \\ \theta=41.98 \\ \theta\approx42^(\circ) \end{gathered}

Thus, the correct option is (A) that is 42 degreeD

User Mastazi
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2.6k points