Question

A hot air balloon rising straight up from a level field is tracked by a range finder 500 ft from the lift-off point. At the moment the range finder's elevation angle is π/4, the angle is increasing at the rate of 0.14 rad/min. How fast is the balloon rising at that moment.

Answer 1

Answer:

Given :-

• a range finder 500 ft from the lift-off point
• elevation angle is π/4,
• angle is increasing at the rate of 0.14 rad/min

To Find :-

• How fast is the balloon rising at that moment.

Solution :-

∆abc

tan = y /500

y = 500 × tan

Dy/dt = 500 sec^2

Dy/dt = 500 × 2× de/df

= 1000 × 0.14 = 140 metre

Answer 2

Answer:

In ∆abc

tan = y /500

y = 500 × tan

Dy/dt = 500 sec²

Dy/dt = 500 × 2× de/df

= 1000 × 0.14 = 140 metre.

Step-by-step explanation:

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