if a glider has a glide ratio of 14:1, how far will the glider descend if it goes forward 84,054 feet? (2…

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)\nquestion 4\n2 pts\na aircraft rated at 625 hp at 2500 rpm will produce 97 hp at what rpm? (2 decimals if needed)

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)\nquestion 4\n2 pts\na aircraft rated at 625 hp at 2500 rpm will produce 97 hp at what rpm? (2 decimals if needed)

Answer

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