An electric pole is 10 m high. If the shadow is 17.32 metres in length,find the elevation of sun

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Solution

tan( angle of elevation of sun) = Opposite Side / Adjacent Side

Here opposite side is electic pole and adjacent side is shadow. Therefore

tan theta = 10/10root3

= 1/root3

We know that tan 30 = 1/root3

= tan 30degrees

therefore angle of elevation of sun is 30 degrees.

Alternate solution

tanthita=perpendicular/base
tan thita=10/10 root 3.
tan thita=1/root 3 .
tan thita= tan 1/root 3
tan thita=tan 30
thita=30. ANS.

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