Find the angle of elevation of the sun when a 24 foot tree casts a shadow of 36 feet

ANSWER

37°

EXPLANATION

The angle of elevation of the sun is the angle through which one has to raise the head to see the sun.

When a 24 feet tree casts a shadow of 36 feet, we can obtain a right triangle as shown in the diagram to help us calculate the angle of elevation of the sun.

Let x be the angle of elevation of the sun, then

Hence, the angle of elevation of the sun is 37° to the nearest degree.

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm