Question

if the height of a flag pole is √3 times the lenght of it's shadow, find the angle of elevarion of the sun​

Answer 1

Step-by-step explanation:

let the height of pole be x

then length of shadow=root 3x

angle of elevation=?

let us assume a triangle ABC with right angle at c and angle of elevation is at B

so acc to triangle,

adj=root 3x

opp=x

so we will use tan

so tanB=opp/adj

=x/root3x=tanB (x will cancel)

1/root3=tanB

we know tan 30=1/root3

substitute

tan30 = tan B

tan get cancelled

so B=30 degrees