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Let the distance be x km. Time taken to go = x / 30 hours, Time taken to return = x / 20 hours. Total time taken = x / 30 + x / 20 = (2x + 3x) / 60 = 5x / 60 = x / 12 hours. Average speed = Total distance / Total time = (2x) / (x / 12) = 24 km/h.
ABC is an isosceles triangle where AB = AC which is circumscribed about a circle. If P is the point where the circle touches the side BC, then which of ...
∆ PQR is right-angled at Q. If ∠R = 60º, then find the value of cosec P.
If θ is a positive acute angle and cos² θ + cos⁴θ = 1, then the value of tan²θ + tan⁴θ is?
If 9 sinx + 40 cosx = 41 then find tanx.
If sin (2x + 50) o = cos (2y - 50) o, such that, 0o < x + y < 90o, then find the value of tan(x + y) .
A man is standing at a point 20 meters away from a vertical tower. The angle of elevation from the point to the top of the tower is 60°. Find the heigh...
If tan 4θ = cot 14θ, then find the value of cos 9θ.
If 0 ≤ θ ≤ 90°, and sin(2 θ +50°) = cos (4 θ + 16°), then what is the value of θ (in degrees)?
If cos θ + sin θ = m, sec θ + cosec θ = n then n(m 2 – 1) is equal to?
