Question
A boat can travel 12 km upstream in 30 min. If the ratio
of the speed of the boat in still water to the speed of the stream is 5:1, how much time will the boat take to cover 15 km downstream?Solution
Speed ratio = 5x : 1x. Downstream = 6x; upstream = 4x. Upstream speed = 12 km / 0.5 hr = 24 kmph. 4x = 24, x = 6. Downstream speed = 6x = 36 kmph. Time taken for 15 km downstream = 15 km/36 kmph = 25 min.
- If sin (a + b) = (√3/2) and cos (a – b) = (√3/2), then find sin a.
If α means +, β means -, ɣ means x, θ means ÷ then 30 θ 10ɣ 5α 10β20 is
If √3 tan x = 3, then the value of x:
- If cos θ = (4x² – 1)/(1 + 4x²) then find the value of sin q.
A tower is 60 meters high. From a point on the ground, the angle of elevation of the top of the tower is 30°. Find the distance of the point from the b...
If 0 ≤ θ ≤ 90°, and sin(2 θ +50°) = cos (4 θ + 16°), then what is the value of θ (in degrees)?
tan 4˚ × tan 43˚ × tan 47˚ × tan 86˚ = ?

Simplify: sin 780° sin 480° + cos 120° sin 30°