Question

Help another math problem

Answer 1

Answer/Step-by-step explanation:

Apply trigonometric ratio to solve for x in all problems given.

1. Reference angle = 29°

Adjacent = x

Hypotenuse = 13 m

Thus:

`cos(29) = (x)/(13)`

Multiply both sides by 13

`13*cos(29) = x`

11.4 = x (nearest tenth)

x = 11.4 m

2. Reference angle = 63°

Opp = 18 cm

Hypotenuse = x

Thus:

`sin(63) = (18)/(x)`

Multiply both sides by x

`x*sin(63) = 18`

Divide both sides by sin(63)

`x = (18)/(sin(63))`

x = 20.2 cm (nearest tenth)

3. Reference angle = 71°

Opp = 14 ft

Adjacent = x

Thus:

`tan(71) = (14)/(x)`

Multiply both sides by x

`x*tan(71) = 14`

Divide both sides by tan(71)

`x = (14)/(tan(71))`

x = 4.8 ft (nearest tenth)