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CBSE Class 10 Answered

A man sitting at a height of 20m on a tall tree on a small island in the middle of a river observes 2 poles directly opposite to each other on the 2 banks of the river and in line with a foot of tree. If the angles of depression of the feet the pole from a point at which the man is sitting on the tree on either side of the river are 60 degrees and 30 degrees respectively. Find the width of the river.
Asked by dr.geetanjali.p | 02 Sep, 2019, 11:37: AM
answered-by-expert Expert Answer
XO rightwards arrow tree Poles space at space straight Y space and space straight Z YZ rightwards arrow width space of space river In increment XOY tan space 30 equals 20 over YO YO equals 20 square root of 3 straight m In increment XZO tan space 60 equals 20 over ZO ZO equals fraction numerator 20 over denominator square root of 3 end fraction straight m YZ equals 20 square root of 3 plus fraction numerator 20 over denominator square root of 3 end fraction equals fraction numerator 60 plus 20 over denominator square root of 3 end fraction equals fraction numerator 80 square root of 3 over denominator 3 end fraction straight m
Answered by Arun | 02 Sep, 2019, 04:46: PM

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CBSE 10 - Maths
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