If the Length of the Wedge is 77 mm, what is the shadow length and altitude of the sun? (Hint: tan θ = (length of wedge) / (shadow length) )



Answer :

Use the given formula
tan

θ
=
Length of wedge
Shadow length
tanθ=
Shadow length
Length of wedge


to find the shadow length
2 Rearrange the formula to find the shadow length:
Shadow length
=
Length of wedge
tan

θ
Shadow length=
tanθ
Length of wedge


3 Substitute the values:
Shadow length
=
77
mm
tan

θ
Shadow length=
tanθ
77 mm


4 Since the shadow length is not given, we can't find the altitude without additional information