A person standing on the bank of a river observes that the angle subtended by a tree on the opposite bank is 60∘, when he retires 40 feet from the bank he finds the angle to be 30∘. Find the height of the tree and the breadth of the river.

Let h be the height of tree, then 40h=sin60o∴ h=203 ft.BQh=tan60o=3,BQ=(3)h=20 ft.=breadth of the river.

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A person standing on the bank of a river observes that the ang

Question

A person standing on the bank of a river observes that the angle subtended by a tree on the opposite bank is $60^{\circ}$ , when he retires $40$ feet from the bank he finds the angle to be $30^{\circ}$ . Find the height of the tree and the breadth of the river.

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Camila Discussed

A person standing on the bank of a river observes that the angle subtended by a tree on the opposite bank is

60^{\circ}

, when he retires

40

feet from the bank he finds the angle to be

30^{\circ}

. Find the height of the tree and the breadth of the river.

9 mins ago

Discuss this question LIVE

9 mins ago

Let h be the height of tree, then

\frac{h}{40} = sin 6 0^{o}

∴ h = 203 f t .

\frac{h}{BQ} = tan 6 0^{o} = 3, BQ = \frac{h}{( 3 )} = 20 f t .

=

breadth of the river.

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Question Text	A person standing on the bank of a river observes that the angle subtended by a tree on the opposite bank is $60^{\circ}$ , when he retires $40$ feet from the bank he finds the angle to be $30^{\circ}$ . Find the height of the tree and the breadth of the river.
Answer Type	Text solution:1
Upvotes	150