Question

3. Use trigonometric ratios to solve for the variable. Show your work. Round lengths to the nearest tenth and angles to the nearest whole degree. ​

Answer 1

x = 3.4

Explanation:

recall that for a right angle with an internal angle θ,

cos θ = adjacent length / hypotenuse

in our case,

θ = 55 deg

adjacent length = x units

hypotenuse = 6 units

substitute these into the formula above

cos θ = adjacent length / hypotenuse

cos 55 = x / 6 (multiply both sides by 6)

x = 6 cos 55 (use calculator)

x = 3.4415

x = 3.4 (rounded to nearest tenth)