Question
Three friends, Aman, Bheema, and
Chetan, together invested a total of Rs. 9400. After one year, they received profits of Rs. 1440, Rs. 1800, and Rs. 2400, respectively. What is the combined investment of Aman and Bheema?Solution
ATQ, Ratio of proit share of Aman: Bheema: Chetan = 1440: 1800: 2400 = 12: 15: 20 So, ratio of initial investment of Aman: Bheema: Chetna = 12: 15: 20 Therefore, total investment of Aman and Bheema taken together = [(12 + 15)/ (12 + 15 + 20)] × 9400 = Rs. 5400
The distance between two parallel poles is 65√3 m. The angle of depression of the top of the second pole when seen from the top of first pole is 3...
A man 3 m tall is 23 m away from a tower 26 m high. Determine the angle of elevation of the top of the tower from the eye of the observer.
A man 1.5 m tall is 22.5 m away from a tower 24 m high. Determine the angle of elevation of the top of the tower from the eye of the observer.
A boat is being rowed away from a cliff 183 m high. From the top of the cliff, the angle of depression of the boat changes from 60° to 45° in 3 minute...
At the foot of the Lighthouse, the elevation of its top is 45⁰. A Bird after flying 8 km towards the building up a slope of 30⁰ inclinations, the el...
A man 2 m tall is 25 m away from a tower 27 m high. Determine the angle of elevation of the top of the tower from the eye of the observer.
There are two houses of the same height on both sides of a 40-meter wide road. From a point on the road, elevation angles of the houses are 30° and 60�...
A boat is being rowed away from a cliff 240 m high. From the top of the cliff, the angle of depression of the boat changes from 60° to 45° in 3 ...
The height of a conical tent is 9m. A vertical pole of 6m height is placed 4 m away from its centre such that it touches the surface. Find the slant hei...
Due to a cyclone, a tree is broken and makes an angle of 30º with the ground. The distance between the root and the tip of the tree that touches the gr...
