The angle of elevation of the ground is the angle between the ground and the line of sight
The angle of elevation of the ground is 30.46 degrees
<h3>How to calculate the angle of elevation</h3>
The angle of elevation is calculated using the following tangent ratio
Evaluate the quotient
Take the arc tan of both sides
Using a calculator, we have:
= 30.46
Hence, the angle of elevation of the ground to the nearest tenth of a degree is 30.46 degrees
Read more about elevation and distance at:
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Explanation:
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Answer:
Volume = 480 cubic inches
Explanation:
We have the following relationships to work with
width w = h -3
length l = h + 4
area of base of prism a = l x w = 60 (1)
area of base in terms of h = (h-3)(h+4) =h² -3h + 4h -12 (2)
Setting (1) = (2) gives
h² + h -12 =60
h² + h -72 = 0
Factoring the LHS we get
(h+9)(h-8) = 0
The solutions for h are
h + 9 = 0 ==> h = -9
h - 8 = 0 ==> h = 8
Since h cannot be negative, h = 8 inches
Volume = base area x h = 60 x 8 = 480 cubic inches
<u>Note</u>
We do not have to calculate length and width separately, but if so,
w = 8 -3 = 5
l = 8 + 4 = 12
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Answer: (x+3)/2
Explanation:
Tiffany's age is x, and Damon is 3 years older, so we can represent his age as x+3. Mitchel's age is half of Damon's age, so we can represent his age as (x+3)/2.
