a tree 100 feet tall casts shadow 120 feet long. Find the angle of elevation of the sun
Angle a is the angle of elevation to the sun.
tan a = opposite side / adjacent side
Plug in the values for the opposite and adjacent side
tan a = 100 ft / 120 ft
tan a = 5 / 6
Take the inverse tangent of both sides.
a = arctan( 5 / 6 ) Put this into a calculator to get...
a ≈ 39.806 degrees
Angle a is the angle of elevation to the sun.
tan a = opposite side / adjacent side
Plug in the values for the opposite and adjacent side
tan a = 100 ft / 120 ft
tan a = 5 / 6
Take the inverse tangent of both sides.
a = arctan( 5 / 6 ) Put this into a calculator to get...
a ≈ 39.806 degrees