A 82-ft tree casts a shadow that is 130 ft long. What is the angle of elevation of the sun? (Round your answer to one decimal place.)
tanØ = opposite/adjacent = rise/run = 82/130 = .63077
Ø = appr 32.2°
im also lexi
wow i just busted a nut to this problem
To find the angle of elevation of the sun, we can use the tangent function. The tangent of an angle is equal to the length of the opposite side divided by the length of the adjacent side.
In this case, the length of the opposite side is the height of the tree, which is 82 ft, and the length of the adjacent side is the length of the shadow, which is 130 ft.
So, the equation would be:
tan(angle) = (opposite/adjacent)
tan(angle) = 82/130
Now, we can calculate the angle of elevation of the sun by taking the inverse tangent of both sides:
angle = atan(82/130)
Using a calculator, we can find the inverse tangent of 82/130 to be approximately 32.7 degrees.
Therefore, the angle of elevation of the sun is approximately 32.7 degrees.