From the top of a vertical cliff

MATHEMATICS · Multi-part · CBSE · Mathematics · Applications of Trigonometry · Applications of Trigonometry

Problem

From the top of a vertical cliff, the angles of depression of a boat at two positions in the same straight line are observed to be 30° and 60° respectively. The boat sails 200 m directly towards the cliff between the two observations. Answer the following: (a) Find the height of the cliff. (b) Calculate the horizontal distance of the boat from the foot of the cliff at the first observation.

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