Given:
Height of Mountain A = 5210 feet
Distance of Mountain A from a helicopter above the peak = 1000 feet
Angle of depression:
Mountain B to helicopter = 43 degrees
Mountain B to Mountain A = 19 degrees
First, draw an illustration and label the enumerated given values.
Observe that there are two right triangles formed:
From the triangle formed by the helicopter and Mountain B,
let x = total height of mountain B
y = leg of first triangle (helicopter and mountain b)
h = hypotenuse
Use the Pythagorean Theorem:
cos (43) = y / h
From the second triangle formed by mountain b and a,
cos (19) = (1000 + y) / h
solve for h and y
then, solve for the height of Mountain B:
x = 1000 + y + 5210
<u>The </u><u>distance</u><u> from the center of the ellipse to where the spots are located will be </u><u>2 feet.</u>
What is Distance?
- Distance is the total movement of an object without any regard to direction.
- We can define distance as to how much ground an object has covered despite its starting or ending point.
The distance from the center of the ellipse to where the spots are located will be -
= 5 - 3
= 2 feet.
Therefore, the distance from the center of the ellipse is 2 feet.
Learn more about distance
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Answer:
-70 degrees
Step-by-step explanation:
What you need to do is subtract 10 from -58 to find the difference;
-58-12 = -70 degrees
11÷2.21=4.97
Rounded to the nearest tenth is 5.0
Answer:
The two rates are equivalent.
Step-by-step explanation:
Here we'll find the respective unit rates and then compare those rates:
$168
----------- = $4/car
42 cars
$152
----------- = $4/car
38 cars
These two rates are precisely the same. Thus, we conclude that they are equivalent.
