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

the given 6 = w/p is equivalent to 6p = w, where w is the total area of the walls and p is the area covered by a single can of paint.

knowing that 6 cans of paint will be needed, 6p = w becomes 6(6) = w = 36.   this tells us that the total area to be painted is 36 square units.