Answer:
The answer to your question is below
Step-by-step explanation:
Question 1.
We have the opposite side and the adjacent side so use the tangent to find x.
tan Ф = [tex]\frac{opposite side}{adjacent side}[/tex]
Substitution
tan Ф = [tex]\frac{12}{20}[/tex]
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 = [tex]\frac{opposite side}{adjacent side}[/tex]
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 = [tex]\sqrt{7}[/tex]
sin A = [tex]\frac{\sqrt{7}}{4}[/tex]
sin A = 0.6614
