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

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

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 = (BC)/(AB)=(15)/(8)=1.875`

`x =\tan ^(-1)(1.875)=61.92=61.9\°`

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