The volume of a cube = e^3
e = a single edge of the cube.
Area of a square = a^2
a = a single side of the square.
The volume of our cube = 13 ft^3
e = = 2.35 ft
The area of our square = 4 ft^2
a = = 2 ft
The edge of our cube is greater than the length of our square's side.
The poster will lie flat in the box.
<u>Given:</u>
A zip line goes from 28 feet to 11 feet in the air. The angle of depression is 85°.
<u>To find:</u>
The length of the zip line where there is no rider.
<u>Solution:</u>
A right-angled triangle can be formed using the given data.
The difference in height between the start and end of the zipline is . The angle of the triangle is 85°.
Assume the zip line is x feet long.
The adjacent side of the triangle measures 17 feet, the hypotenuse of the triangle measures x feet, and the angle of the triangle is 85°.
To determine x, we calculate the cos of the given angle.
Rounding this off, we get the length of the zip line when there is no rider is 195.18 feet long.