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Two plam trees are of equal height and are standing opposite each other on either side of river which is 80m wide From a point o between them on the river

Posted by Arohi Sinha 4 years, 10 months ago

CBSE > Class 10 > Mathematics

2 answers

Satyam Kumar Singh 4 years, 10 months ago

Bh ghhh

0Thank You

Gaurav Seth 4 years, 10 months ago

Let BD = river

AB = CD = palm trees = h

BO = x

OD = 80 - x

In ∆ABO,

tan60˚ = hxhx

√3 = hxhx ---- (1)

H = √3x

In ∆CDO,

tan30˚ = h80−xh80−x

13√13 = h80−xh80−x --- (2)

Solving (1) and (2), we get

x = 20

H = √3x = 34.6

The height of the trees = h = 34.6m

BO = x = 20m

DO = 80 - x

= 80 - 20 = 60m

0Thank You

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