Question

Please help! i’m really struggling
2. Find the value of x in the triangle. Round your answer to the nearest tenth of a degree. Show your work

Answer 1

Answer:

Therefore the value of x in the triangle is 61.9°.

Step-by-step explanation:

Given:

Consider In Right Angle Triangle ABC

∠B = 90°

∠A = x°

AB = 8 = adjacent side of 'x'

BC = 15 = opposite side of 'x'

To Find:

x = ?

Solution:

In Right Angle Triangle ABC by Tangent Identity we have

$\tan A = \frac{\textrm{side opposite to angle A}}{\textrm{side adjacent to angle A}}$

substituting the above given values we get

$\tan x = \dfrac{BC}{AB}=\dfrac{15}{8}=1.875$

$x =\tan ^{-1}(1.875)=61.92=61.9\°$

Therefore the value of x in the triangle is 61.9°.