Question

What is the approximate value of y − x? (a.) 4.9° (b.) 6.2° (c.) 11.1° (d.)17.2°   

Its not A

Answer 1

It is tan^(-1)(19.1/14.1)-tan^(-1)(14.1/19.1)=17.2degree D

Answer 2

Since it is a right angled triangle.

tan x = 14.1/19.1

tan x ≈ 0.7382

x ≈ tan⁻¹(0.7382) use a calculator.

x ≈ 36.4°

Since x and y are adjacent angles of right angled triangle.

x + y = 90°

x = 90° - 36.4°

x = 53.6°

y - x ≈ 53.6° - 36.4°

y - x ≈ 17.2°

Option D.