Solve the problem.
-A stretch of highway has a 2-ft vertical rise for every $100 \mathrm { ft }$ of horizontal run. Use a function involving tangent to estimate the grade resistance for a 2200-lb car travelling on this stretch of highway. Give your answer to the nearest pound.
A) 20 pounds
B) 44 pounds
C) 11 pounds
D) 24 pounds

Question

Quizplus · Accepted Answer

The grade resistance can be estimated using the tangent of the angle of incline, which is the rise over the run. Here, the rise is 2 ft for every 100 ft of run, so the tangent of the angle is $ \tan(\theta) = \frac{2}{100} = 0.02 $. The weight of the car is 2200 lbs, so the grade resistance is $ 2200 \times 0.02 = 44 $ pounds.

Solve the Problem 100ft100 \mathrm { ft }100ft Of Horizontal Run

Solve the Problem $100 \mathrm { ft }$ Of Horizontal Run