Find the shadow cast by a 10 foot lamp post when the angle of elevation of the sun is 45 degrees

10√2

Step-by-step explanation:

The set up is a right triangle

Height of the lamp = opposite = 10feet

Length of the shadow = hypotenuse =x

angle of elevation = 45 degrees

Using SOH CAH TOA identity

sin theta = opposite/hyp

siin 45 = 10/x

x = 10/sin 45

x = 10/(1/√2)

x = 10√2

Hence the length of the shadow will be 10√2