Question

Need help in solving right triangles

Answer 1

1. a) given: adjacent

Solve for: opposite

b) tan(theta)

c) tan(50) = x/5

d) 4.96

2. a) given: hypotenuse

Solve for: opposite

b) sin(theta)

c) sin(36) = x/8

d) 4.70

Explanation:

1. a) given: adjacent

Solve for: opposite

b) use tan(theta) since we have the adjacent and opposite lengths

c) tan(50) = opposite/adjacent

tan(50) = x/5

x = 5tan(50)

d) 5.958767963

2. a) given: hypotenuse

Solve for: opposite

b) use sin(theta) since we have the hypotenuse and opposite lengths

c) sin(36) = opposite/hypotenuse

sin(36) = x/8

x = 8sin(36)

d) 4.702282018