SOLUTION: A vertical shadow stick has a heoght of 1.8m. If the angle of elevation of the sun is 42� what is the length of the shadow at that time

Question 895806: A vertical shadow stick has a heoght of 1.8m. If the angle of elevation of the sun is 42� what is the length of the shadow at that time
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
tan(42) = 1.8/x

x = 1.8/tan(42)

x = 1.999...

this is reasonable since, if the angle was 45 degrees, the shadow would have been 1.8 meters.

1.8 is the opposite side of the angle.
x is the adjacent side of the angle.
the hypotenuse of the right triangle formed is the direct line from the end of the shadow to the sun.

that line and the ground form the angle of elevation.

here's a picture:

$$$

RELATED QUESTIONS
A pole casts a shadow of 15 m when the angle of elevation of the sun is 61 degrees. If... (answered by ankor@dixie-net.com)

If the shadow of a pole 7m high is =1/2 its length,what is the angle of elevation of sun... (answered by josgarithmetic,math_tutor2020)

A pole casts a shadow of 15 m when the angle of elevation of the sun is 61 degrees. If (answered by rothauserc)

If your shadow is twice your height what is the angle of elevation of the... (answered by stanbon)

if a 100 ft building casts an 88 ft shadow, what is the angle of elevation of the... (answered by jim_thompson5910)

at a certain time during the day a vertical meterstick casts a shadow 3m long. what is... (answered by stanbon)

1.the shadow of a pole when the angle of elevation of the sun is 32� is 5m longer than... (answered by Alan3354)

From the tip of a shadow cast by a vertical object such as a tree, the angle of elevation (answered by Cromlix)

What is the angle of elevation of the sun when a 35-ft mast casts a 20-ft... (answered by favegirl13)