Question

Using the info given, solve for the missing value of the right triangle. Round each angle to the nearest degree, each length to the nearest tenth, & each trigonometric value to four decimal places, if necessary. Opposite side = 244 yards Adjacent side = 119 yards cos θ = ?

Answer 1

Answer:

Step-by-step explanation:

The given triangle is a right angle triangle. The opposite side is given as 244 yards. The adjacent side is given as 119 yards. To determine the hypotenuse, we would apply Pythagoras theorem. It is expressed as

Hypotenuse^2 = opposite side^2 + adjacent side^2

Hypotenuse^2 = 244^2 + 119^2

Hypotenuse^2 = 59536 + 14161

Hypotenuse = √73697 = 271.5 yards.

cos θ = adjacent side/hypotenuse

cos θ = 119/271.5 = 0.4383

θ = Cos^-1(0.4383) = 64 degrees

The other angle would be

90 - 64 = 26 degrees