1.

A tree casts a shadow 15 m long on the level of ground, when the angle of elevation of the sun is 45°.Find the height of the tree​

Answer»

ong>Step-by-step explanation:

In △ABC,

x

h

=TAN60

∘

⇒h=xtan60

∘

....(!)

In △ABD,

x+20

h

=TAN45

∘

∴

x+20

xtan60

∘

=tan45

∘

[From EQUATION (1)]

⇒

3

x=1×(x+20)⇒

3

x=x+20

⇒1.73x−x=20

⇒x=

0.73

20

=27.39

Hence, height of tree =h=27.39×

3

=47.39 m.


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