After leaving the runway,a plane's angle of ascent is 17^o and its speed is 280 feet per second.How many minutes will it take for the airplane to climb to a height of 11,000 feet? Round your answer to two decimal places. A)1.72 minutes B)1.19 minutes C)2.24 minutes D)0.65 minutes E)0.68 minutes

Question

Quizplus · Accepted Answer

We can use trigonometry to find the rate of ascent, which is the vertical component of the plane's velocity. sin(17^o) = opposite/hypotenuse = rate of ascent/280 rate of ascent = 280*sin(17^o) = 80.3 feet per second To climb 11,000 feet, we need to find how many seconds it will take: 11,000 feet / 80.3 feet per second = 137.04 seconds Finally, we convert seconds to minutes: 137.04 seconds / 60 seconds per minute ≈ 2.24 minutes Therefore, the answer is C: 2.24 minutes.

After Leaving the Runway,a Plane's Angle of Ascent Is 17o

After Leaving the Runway,a Plane's Angle of Ascent Is 17^o