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Rishu is riding in a hot air balloon. Af...

Rishu is riding in a hot air balloon. After reaching a point P, he spots a car parked at Bon the ground at an angle of depression of `30^@`. The balloon rises further by 50 metres and now he spots the same car at an angle of depression of 45o and a lorry parked at B' at an angle of depression of `30^@`. (Use `sqrt3` = 1.73)

The distance AB on the ground is

A

124.2 m

B

118 m

C

171.4 m

D

142.6 m

Text Solution

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The correct Answer is:
B
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Rishu is riding in a hot air balloon. After reaching a point P, he spots a car parked at Bon the ground at an angle of depression of 30^@ . The balloon rises further by 50 metres and now he spots the same car at an angle of depression of 45o and a lorry parked at B' at an angle of depression of 30^@ . (Use sqrt3 = 1.73) The measurement of Rishu facing vertically is the height. Distance is defined as the measurement of car/lorry from a point in a horizontal direction. If an imaginary line is drawn from the observation point to the top edge of the car/lorry, a triangle is formed by the vertical, horizontal and imaginary line. If the height of the balloon at point P is 'h' m and distance AB is 'x' m, then 'x' and 'h' are related as:

Rishu is riding in a hot air balloon. After reaching a point P, he spots a car parked at Bon the ground at an angle of depression of 30^@ . The balloon rises further by 50 metres and now he spots the same car at an angle of depression of 45^(@) and a lorry parked at B' at an angle of depression of 30^@ . (Use sqrt3 = 1.73) The measurement of Rishu facing vertically is the height. Distance is defined as the measurement of car/lorry from a point in a horizontal direction. If an imaginary line is drawn from the observation point to the top edge of the car/lorry, a triangle is formed by the vertical, horizontal and imaginary line. The height of the balloon at point P' and distance AB are related as:

Rishu is riding in a hot air balloon. After reaching a point P, he spots a car parked at Bon the ground at an angle of depression of 30^@ . The balloon rises further by 50 metres and now he spots the same car at an angle of depression of 45^@ and a lorry parked at B' at an angle of depression of 30^@ . (Use sqrt3 = 1.73) The measurement of Rishu facing vertically is the height. Distance is defined as the measurement of car/lorry from a point in a horizontal direction. If an imaginary line is drawn from the observation point to the top edge of the car/lorry, a triangle is formed by the vertical, horizontal and imaginary line. The height of the balloon at point P, then

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