Question

if a glider has a glide ratio of 14:1, how far will the glider descend if it goes forward 84,054 feet? (2 decimals if needed)
question 4
2 pts
a aircraft rated at 625 hp at 2500 rpm will produce 97 hp at what rpm? (2 decimals if needed)

Explanation:

Step1: Set up proportion for glider problem

Let the descent distance be $x$. The glide - ratio is $\frac{14}{1}=\frac{84054}{x}$.

Step2: Solve for $x$

Cross - multiply: $14x = 84054$. Then $x=\frac{84054}{14}=6003.86$ feet.

Step3: Set up proportion for aircraft problem

Let the unknown RPM be $y$. Assuming a linear relationship between horsepower and RPM, we have $\frac{625}{2500}=\frac{97}{y}$.

Step4: Solve for $y$

Cross - multiply: $625y=97\times2500$. Then $y = \frac{97\times2500}{625}=\frac{242500}{625}=388.00$ RPM.

Answer:

6003.86
388.00