2009 · Q14
The length of the shadow of a person s cm tall when the angle of elevation of the sun is α is p cm. It is q cm when the angle of elevation of the sun is β. Which one of the following is correct when β = 3α ?
Elementary MathematicsTrigonometry
- Ap − q = s(tan α − tan 3α)/(tan 3α tan α)
- Bp − q = s(tan 3α − tan α)/(3 tan 3α tan α)
- Cp − q = s(tan 3α − tan α)/(tan 3α tan α)
- Dp − q = s(tan 2α)/(tan 3α tan α)
Explanation
p − q = s(tan 3α − tan α)/(tan 3α tan α).