Q:

In this triangle, what is the value of x?Enter your answer, rounded to the nearest tenth, in the box.x = yd

Accepted Solution

A:
Answer:75 ydStep-by-step explanation:Given in the question a right angle triangle.Base of right angle triangle = xHeight of right angle triangle = 40ydTo find x we will use trigonometry identity TanФ = opposite / adjacent here Ф = 62° opposite = base adjacent = heightPlug values in the formula to find xTan(62) = x / 40    x        = (40)(Tan(62))              = 75.229 yd              ≈ 75 yd