Right-Angled Trigonometry

Geometry Level 2

Calculate the angle $x$ in the triangle below. Give your answer to two decimal places .

1 solution

Justin Arun
Jul 10, 2020

In this right angled triangle, we have the opposite ( $O$ ) and adjacent ( $A$ ) side of angle $x$ .

By basic trigonometry, we know that $\tan x = \frac{O}{A} = \frac{6}{8} = \frac{3}{4}$

So:

$x = \tan^{-1}(\frac{3}{4}) = 36.87$

The correct answer should be 37°

Utsav Kumar - 10 months, 3 weeks ago

That's a rounded off answer, You can check Tan^-1 of 3/4 in calculator

Varsha Pandian - 8 months ago

No, 36.87 degrees.

Justin Arun - 10 months, 3 weeks ago