railway RRB Technician Grade 1 Mock Test 2024 Quantitative Aptitude Trigonometry Heights and Distances
The length of the shadow of a person s cm tall when the of angle 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 ?
1
\(\rm p - q = s \left( \frac{\tan \alpha - \tan 3 \alpha}{\tan 3 \alpha \tan \alpha } \right)\)
2
\(\rm p - q = s \left( \frac{\tan 3 \alpha - \tan \alpha}{3\tan 3 \alpha \tan \alpha } \right)\)
3
\(\rm p - q = s \left( \frac{\tan 3 \alpha - \tan \alpha}{\tan 3 \alpha \tan \alpha } \right)\)
4
\(\rm p - q = s \left( \frac{\tan 2 \alpha}{\tan 3 \alpha \tan \alpha } \right)\)