right triangle trigonometry - sohcahtoa\nright triangle trigonometry relates the sides of a right triangle…

right triangle trigonometry - sohcahtoa\nright triangle trigonometry relates the sides of a right triangle to the\nangle measures of the two acute angles.\ncalculate the value for x.\nanswer (round to nearest degree): x =

right triangle trigonometry - sohcahtoa\nright triangle trigonometry relates the sides of a right triangle to the\nangle measures of the two acute angles.\ncalculate the value for x.\nanswer (round to nearest degree): x =

Answer

Answer:

(x = 18^{\circ})

Explanation:

Step1: Identify the trigonometric ratio

In a right - triangle, (\tan\theta=\frac{\text{opposite}}{\text{adjacent}}). Here, the opposite side to the angle (x) is (15) and the adjacent side is (46). So, (\tan x=\frac{15}{46}).

Step2: Calculate the angle

We know that (x = \arctan(\frac{15}{46})). Using a calculator, (x=\arctan(0.3261)\approx18^{\circ}) (rounded to the nearest degree).