# What is the angle of elevation of the sun when a tree 7.52 m tall casts a shadow of 11.4 m long?

##### 1 Answer

Apr 21, 2015

Here,

AB is height of tree 7.52m that is Perpendicular in the triangle represented by symbol (p)

AC is length of shadow i.e 11.4m and is the hypotenuse of the triangle ABC represented by symbol (h)

Now to find the the angle of elevation of sun i.e <ACB

we take the relation between known quantities i.e p and h

Now,

sin < ACB = p/h

sin < ACB = 7.52/11.4

sin < ACB = 0.6596 which is sin 41 degrees

therefore

< ACB = 41 degrees