Answer:
39.9
Step-by-step explanation:
A good trick to remember is SOH CAH TOA.
Sine = Opposite / Hypotenuse
Cosine = Adjacent / Hypotenuse
Tangent = Opposite / Adjacent
Here, we're given an angle and the opposite side, and we want to find the adjacent side. So we need to use tangent.
tan 31° = 24 / x
x = 24 / tan 31°
x ≈ 39.9
Answer:
Step-by-step explanation:
The given triangle is a right angle triangle .
The known sides of the triangle that is opposite to angle y is 8 units while the side adjacent is 10 units.
The value of y can be calculated using the tangent ratio.
We solve for y to get,
We evaluate to obtain,
to the nearest degree
Answer:
864 cubic inches
Step-by-step explanation:
Complete Question
A display case in the shape of a rectangular pyramid has a base that is 12 inches by 9 inches. It is 8 inches tall. What is the volume of the display case?
The volume of a rectangular pyramid =
Area of the base × Height of the pyramid
Base has dimensions = 12 inches by 9 inches.
Area of the base = 108 square inches
Height of the pyramid = 8 inches
Volume of rectangular pyramid =
Area of the base × Height of pyramid
= 108 square inches × 8 inches
= 864 cubic inches
Therefore, the volume of the display case is 864 cubic inches
