Question

Fill in the black. In the triangle below , x=_ . Round your answer to two decimal places.

Answer 1

Answer:

x ≈ 44.80    

Step-by-step explanation:

As it's a right angle triangle so we will use rules of trigonometry.

The tangent of the angle = the length of the opposite side /

                                             the length of the adjacent side

First we need to find angle z

angle z

52° + z° + 90° = 180°       sum of angles of triangle

142° + z° = 180°

z° = 180 - 142    

z° = 38°

x

Tan z° = opp / adj

Tan 38° = 35 / x

x = 35 / Tan 38°

x = 35 / 0.78

x = 44.7979

x ≈ 44.80                         (correct to 2 decimal place)