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RD Sharma Solutions Class 10 Mathematics Solutions for Some Applications Of Trigonometry Exercise 12.1 in Chapter 12 - Some Applications Of Trigonometry

Question 38 Some Applications Of Trigonometry Exercise 12.1

A balloon is connected to a meteorological ground station by a cable of length 215 m inclined at 60° to the horizontal. Determine the height of the balloon from the ground. Assume that there is no slack in the cable.

Answer:

Solution:

A common notion in trigonometry, specifically, is the angle of elevation, which has to do with height and distance. It is described as an angle formed by the horizontal plane and an oblique line between the observer's eye and a target above it.

R D Sharma Solutions - Mathematics - Class 10 chapter Some Applications Of Trigonometry Question 38 Solution image

Let the height of the balloon from the ground = h m

Given, the length of the cable = 215 m and the inclination of the cable is 60o.

In ΔABC

sin 60o = AB/ AC

√3/2 = h/215

h = 215√3/2 = 185.9

Hence, the height of the balloon from the ground is 186m (approx).

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