Using the slope concept, it is found that the shuttle traveled 3.2 miles while Marion was watching.
<h3>What is a slope?</h3>
The slope is given by the <u>vertical change divided by the horizontal change</u>, and it's also the tangent of the angle of depression.
Initially, the angle of elevation is of 16º, with an elevation of 1 mi, hence:



Then, at the end, the angle will be of 74º, with the elevation remaining constant, hence:



The distance is:

The shuttle traveled 3.2 miles while Marion was watching.
More can be learned about the slope concept at brainly.com/question/18090623
Answer: 102 degrees
Step-by-step explanation:
This is an isosceles triangle because two of the sides are the same length which means that two angles are congruent as well.
180-(2(39))
=180-(78)
=102
Answer:
314 ft²
Step-by-step explanation:
Data provided in the question:
Depth (height) of the pool =
of its radius
let the radius be 'r' ft
thus,
Depth (height) of the pool, h =
ft
Volume of the pool = 1570 ft³
also,
Volume of cylinder = πr²h
thus,
1570 ft³ = πr²h
or
1570 ft³ = 
or
3140 = 3.14 × r³ [ π = 3.14 ]
or
r³ = 1000 ft³
or
r = 10 ft
Thus,
Area of the bottom surface = πr²
= 3.14 × 10²
= 314 ft²
Answer:
150.72 cubic centimeter
Step-by-step explanation:
Given:-
Height of cone (h) = 9cm
Diameter of cone(d)=8cm
radius of cone(r)=
=
To calculate= Volume of cone(
)


Volume of cone(
) 
Therefore paper cone cup can hold 150.72 cubic centimeter of water.