To find the length of the light pole you'll have to use the sine ratio.
sin 30 = x/43
43 (sin 30) = x
21.5 = x
Hope this helps :)
Answer:
502.7 meters squared
Step-by-step explanation:
The equation would be 2πrh+2πr^2. If you just plug in the radius and height you will get 502.65. Round it up and you will get 502.7.
I don’t think functions can have repeating x values
Substitute sin(x) = tan(t) and cos(x) dx = sec²(t) dt. We want this change of variable to be reversible, so let's assume bot x and t are bounded between 0 and π/2.
Then we have
Recall the Pythagorean identity,
1 + tan²(t) = sec²(t)
Then
√(1 + tan²(t)) = √(sec²(t)) = sec(t)
and the integral reduces to
Change the variable back to x, so the antiderivative is