Answer:
The monument is approximately 86.6 feet tall
Step-by-step explanation:
The given monument parameters are;
The distance of the person from the monument = 50 feet
The angle of depression from the top of the monument to the person's feet = 64°
Given that the angle of elevation to the top of the monument from the person's feet = The angle of depression from the top of the monument to the person's feet, we have;
tan(Angle of depression) = tan(Angle of elevation) = (The height of the monument)/(The distance from the monument)
∴ The height of the monument = tan(Angle of depression) × The distance from the monument
Substituting the known values, gives;
The height of the monument = tan(60°) × 50 ≈ 86.6
The height of the monument ≈ 86.6 feet.
-5 is the same as -5/1
Flip the fraction:
-1/5
2/9 / 1/4
Flip the 2nd fraction and multiply:
2/9 * 4/1
Multiply the numerators and denominators:
8/9
Answer:
(2 + 5) / (9 - 4)
Step-by-step explanation:
"sum of 2 and 5" = (2 + 5)
"difference of 9 and 4" = (9 - 4)
"sum of 2 and 5 is divided by the difference of 9 and 4"
= (2 + 5) / (9 - 4)
Answer: 343 in³
Explanation: In this problem, we're asked to find the volume of a cube.
It's important to understand that a cube is a type of rectangular prism and the formula for the volume of a rectangular prism is shown below.
<em>Volume = length × width × height</em>
In a cube however, the length, width, and height are all the same. So we can use the formula side × side × side instead.
So the formula for the volume of a cube is side × side × side or s³.
So to find the volume of the given cube, since each side has a length of 7 inches, we can plug this information into the formula to get (7 in.)³ or (7 in.)(7 in.)(7 in).
7 x 7 is 49 and 49 x 7 is 343.
So we have 343 in³.
So the volume of the given cube is 343 in³.
Answer:
Step-by-step explanation:
He earned 485.04. You have to add. Hence the words in all
