From a point on the ground

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Trigonometry · Applications of Trigonometry

Problem

From a point on the ground, the angle of elevation of a balloon is

30^{\circ}

. After the balloon rises vertically by

100\,\text{m}

, the new angle of elevation becomes

60^{\circ}

. Assuming no horizontal drift, determine the height of the balloon above the ground at the first observation. (a)

100\,\text{m}

(b)

50\,\text{m}

(c)

25\,\text{m}

(d)

150\,\text{m}