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) )

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01-05-2024
Mathematics

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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) )

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ubadithelma ubadithelma · Answer 1 · 2024-05-01T15:44:20-04:00

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