A 10-foot tree casts a 17-foot shadow directly down a slope when the angle of elevation of the sun is 42o (see figure). Find \th
1 answer:
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
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The true statement about the directrix is that each directrix of this ellipse is 31.25 units from the center on the major axis.
<h3>How to determine the distance of the directrix?</h3>The equation of the ellipse is given as:
The above means that:
a^2 = 625
a = 25
b^2 = 225
b = 15
Calculate c using:
c^2 = a^2 - b^2
This gives
c^2 = 625 - 225
Evaluate the difference
c^2 = 400
Evaluate the square root
c = 20
The equation of the directrix is
x - x₀ = ± a²/c
So, we have:
x - x₀ = ± 625/20
Evaluate the quotient
x - x₀ = ± 31.25
This means that, each directrix is 31.25 units from the center on the major axis.
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