Asked by Opin
Two sides of a triangle are 12m and 15m in length and the angle between them is increasing at a rate of 2 deg/min. Find the rate at which the area of the triangle is increasing when the angle between their sides of fixed length is 60 deg?
Answers
Answered by
Opin
My answer is 155m^2/min i just wanted to confirm if im doing it right.
Answered by
Reiny
A = (1/2)(12)(15)sin x , where x is the angle in radians
dA/dt = 90 cosx dx/dt
given: dx/dt = 2π/180 = π/90
so when x = π/3
dA/dt = 90(cos π/3)(π/90)
= (90)(1/2)(π/90) = π/2
How did you get 155 ? Remember, you have to use radians.
dA/dt = 90 cosx dx/dt
given: dx/dt = 2π/180 = π/90
so when x = π/3
dA/dt = 90(cos π/3)(π/90)
= (90)(1/2)(π/90) = π/2
How did you get 155 ? Remember, you have to use radians.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.