Answer:
θ = 36.86°
Step-by-step explanation:
Given that,
The shadow of a 60 foot pole is a 100 feet long.
We need to find the angle of elevation from the end of the shadow to the top of the pole.
Height, h = 60 foot
Hypotenuse, H = 100 feet
Using trigonometry to find it.
So, the angle of elevation is 36.86 degrees.
The answer is:
1017.88 square feet are blue.
<h2>Why?</h2>To calculate how many square feet are blue, we need to calculate the area of the bottom of the circular swimming pool.
We need to remember that we can calculate the area of any circle using the following formula:
Now, we know that the diameter of the bottom is equal to 36 feet, so, we can calculate the radius of the bottom using the following formula:
So,
Then, calculating the area we have:
Hence, we have that 1017.88 square feet are blue.
Have a nice day!