What is the angle of elevation of the sun when a tree 7,15 m tall casts a shadow 10,1 m long?
draw a diagram and review your basic trig functions. You can see that
tanฮธ = 7.15/10.1
Now just find ฮธ.
This is not what I requested ๐ and by the way It didn't even give me the answer to my question ๐ ๐ ๐ค
To find the angle of elevation of the sun, we can use the tangent function. The tangent of an angle is the ratio of the opposite side to the adjacent side.
In this case, the opposite side is the height of the tree (7.15 m) and the adjacent side is the length of the shadow (10.1 m). So, we can set up the equation:
tan(angle) = opposite/adjacent
tan(angle) = 7.15/10.1
To solve this equation for the angle, we can take the inverse tangent (also known as arctangent) of both sides:
angle = arctan(7.15/10.1)
Using a scientific calculator or an online tool, we can find the inverse tangent of 7.15/10.1 to get the angle of elevation of the sun.