Question

Solve the right triangle. 150 Find the length of the side adjacent to the given angle. (Round your answer to two decimal places.) Find the length of the hypotenuse. (Round your answer to two decimal places.) Find the other acute angle.

Answer 1

Answer:

62.12

15degrees

Step-by-step explanation:

Given

Opposite = x= 60

Angle of elevation = 75degrees

Required

Hypotenuse

Using the SOH CAH TOA identity

Sin theta = opp/hyp

Sin 75 = 60/H

H = 60/sin 75

H = 60/0.9659

H = 62.12

Hence the hypotenuse is 62.12

Since the sum of angle in a triangle is 180degrees, hence

75+90+x = 180

X is the unknown side

165 + x =180

x = 180-165

x = 15degrees

Hence the other acute angle is 15degrees