Question:medium
A and B are two points on one bank of a straight river and C, D are two other points on the other bank... AB=a, $\angle CAD=α, \angle DAB=β, \angle CBA=γ$, then CD is equal to
A and B are two points on one bank of a straight river and C, D are two other points on the other bank... AB=a, $\angle CAD=α, \angle DAB=β, \angle CBA=γ$, then CD is equal to
Show Hint
A and B are two points on one bank of a straight river and C, D are two other points on the other bank... AB=a, $\angle CAD=α, \angle DAB=β, \angle CBA=γ$, then CD is equal to
Updated On: Apr 15, 2026
- $\frac{a \sin \beta \cdot \sin \gamma}{\sin \alpha \cdot \sin(\alpha+\beta+\gamma)}$
- $\frac{a \sin \alpha \cdot \sin \gamma}{\sin \beta \cdot \sin(\alpha+\beta+\gamma)}$
- $\frac{a \sin \alpha \cdot \sin \beta}{\sin \gamma \cdot \sin(\alpha+\beta+\gamma)}$
- None of the above
Show Solution
The Correct Option is B
Solution and Explanation
Was this answer helpful?
0
Top Questions on Geometry
- A rectangular field is to be fenced on three sides leaving one side measuring 20 feet uncovered by fencing. If the area of the field is 680 sq ft, how many feet of fencing is required?
- A car is moving away from the base of a 30 m high tower. The angle of elevation of the top of the tower from the car at an instant, when the car is \(10\sqrt{3}\) m away from the base of the tower, is :
- CBSE Class X - 2026
- Mathematics
- Geometry
- If TP and TQ are two tangents to a circle with centre O from an external point T so that \(\angle POQ = 120^\circ\), then \(\angle PTQ\) is equal to :
- CBSE Class X - 2026
- Mathematics
- Geometry
- In the given figure, PA is a tangent from an external point P to a circle with centre O. If \(\angle POB = 125^\circ\), then \(\angle APO\) is equal to :
- CBSE Class X - 2026
- Mathematics
- Geometry
- Want to practice more? Try solving extra ecology questions todayView All Questions