Question

Need help with these (Trig)

Answer 1

The answer to your question is below

Explanation:

Question 1.

We have the opposite side and the adjacent side so use the tangent to find x.

tan Ф =
`(opposite side)/(adjacent side)`

Substitution

tan Ф =
`(12)/(20)`

Ф = 30.96° = x

Question 2.

Letter A is the correct answer

Letter B is incorrect because the cylinder does not have a height of 15 mm

Letter C is incorrect because of the radius of the sphere is not 6 mm

Letter D is incorrect because the radius of the sphere is not 6 mm and the height of the cylinder is not 15 mm.

Question 3.

To solve this exercise we use the trigonometric function tangent

tan Ф =
`(opposite side)/(adjacent side)`

Solve for opposite site

Opposite side = Adjacent side tanФ

Opposite side = 30 tan 80

d = 170.14 ft

Question 4

To find the sine, first we must calculate the opposite side

c² = a² + b²

a² = c² - b²

a² = 4² - 3²

a² = 16 - 9

a² = 7

a =
`√(7)`

sin A =
`(√(7))/(4)`

sin A = 0.6614