Question

what is the angle of elevation of the sun when the shadow of a pole of 18m high is 6√3m long? ( i need step by step explanation pls I'm having a class test tmr pls help)​

Answer 1

See diagram below

Explanation:

arctan (angle ) = 18 / (6 sqrt3) = 60 degrees

Answer 2

Explanation:

height of pole = 18m = p

length of shadow = 6
`√(3)` m = b

now,

tan α = p/b

= 18/6
`√(3)`

=
`√(3)`

or, tan α = tan 60

α = 60

Therefore angle of elevation of the sun is 60.