Miguel is painting a cabinet shaped like a rectangular prism. He is going to paint all of the exterior sides except the top and
the bottom. The cabinet is 6 feet tall, 4 feet wide, and 2 feet deep. What is the surface area of the portion of the cabinet that Miguel is going to paint?
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
We want to find sin(θ) and cos(θ) given that tan(θ) = 1/4 and sin(θ) > 0.
First, since tan(θ) and sin(θ) are both positive, cos(θ) must be positive as well.
Recall that tangent is the ratio of the opposite side to the adjacent side.
Therefore, the hypotenuse is:
So, with respect to θ, the opposite side is 1, the adjacent is 4, and the hypotenuse is √17.
Then it follows that:
And that: