Question

A military jet flying above a target is detected on the radar screen of an operator stationed 24 km away from that target. The altitude of the plane, if it is at a distance of 26 km from the operator's location, is k km. What is the value of k?

a) 22 km
b) 23 km
c) 24 km
d) 25 km

Answer 1

The value of k, the altitude of the military jet, can be found using the formula D = 112.88 km × √h, where D is the distance from the radar operator and h is the altitude of the jet. In this case, D = 24 km and h = 26 km. Plugging these values into the formula, we get: 24 km = 112.88 km × √26 km. Solving for √h, we find √h = 0.213 km, which means h = 0.213 km^2. Hence, the value of k, the altitude of the plane, is 0.213 km or 213 m.

Step-by-step explanation:

The value of k, the altitude of the military jet, can be found using the formula D = 112.88 km × √h, where D is the distance from the radar operator and h is the altitude of the jet. In this case, D = 24 km and h = 26 km. Plugging these values into the formula, we get: 24 km = 112.88 km × √26 km. Solving for √h, we find √h = 0.213 km, which means h = 0.213 km^2. Hence, the value of k, the altitude of the plane, is 0.213 km or 213 m.