Question
In a circle AB is diameter and points C and D are on
the circumference such that ∠ CAD = 40° and ∠ CBA = 60°. What is the value of ∠ ACD?Solution
According to figure above, ∠ CAD and ∠ CBD subtend the same arc DC on the circumference. ⇒∠ CAD = ∠ CBD = 40° Also, ∠ DBA = ∠ CBA - ∠ CBD = 60 - 40 = 20°. Now ∠ DBA and ∠ ACD subtend the same arc DA on the circumference of the circle. ⇒∠ ACD = ∠ DBA = 20°.
A man can swim at the rate of 8 km/hr in still water. If the speed of the water is 3 km/hr, then the time taken by him to swim 15 km upstream is
Speed of current is equal to 25% of speed of boat in still water. If the boat takes 14 hours to cover 140 km in still water, then find the time taken by...
A man rows 40 km upstream and 60 km downstream in 8 hours. If the ratio of his upstream speed to downstream speed is 2:3, then find the time required to...
In still water, a boat can cover 30 km in 90 minutes. Speed of the stream is 20% of the speed of the boat in downstream. Find the time taken by the boat...
If a boat's downstream and upstream speeds are 30 km/hr and 22 km/hr respectively, and it travels (x + y) km upstream in 10 hours when the stream speed ...
- A boat goes downstream at 28 km/hr and upstream at 20 km/hr. If it takes 14 hours to travel (x + y) km upstream when the stream speed is doubled, then what...
- The boat's downstream and upstream speeds are 24 km/hr and 16 km/hr respectively. If the time taken to cover a distance of (x + y) km upstream with stream ...
The speed of a boat in still water is 28 km/hr. If the boat covers 140 km in upstream in 7 hours, then find the time taken by the boat to travel 144 km ...
A swimmer can swim at a speed of 3.5 kilometers per hour in still water. If the time taken to cover a certain distance upstream is 2.5 times the time ta...
The speed of the stream is 11 km/h. Boat ‘A’ covers 84 km distance against the stream in 6 hours and boat ‘B’ covers 90 km distance against the ...
Relevant for Exams:
