For the following questions answer them individually
The angle of elevation of the top of a building at a distance of 70 m from its foot on a horizontal plane is found to be 60°. Find the height of the building.
ABCD is a cyclic quadrilateral and BC is a diameter of the related circle on which A and D also lie. $$\angle BCA = 19^{\circ}$$ and $$\angle CAD = 32^{\circ}$$. What is the measure of $$\angle ACD$$?
Find the value of the given expression.
$$\sqrt{20 -\sqrt{20 - \sqrt{20 - \sqrt{20 - ... \infty}}}}$$
Find the single equivalent discount for successive discounts of 12%, 18% and 25% on the marked price of a car.
Rewa has some hens and some goats. If the total number of animal heads is 100 and the total number of animal feet is 348, then what is the total number of goats with Rewa?
If the external angle of a regular polygon is 18°, then the number of diagonals in this polygon is:
The average weight of three men is increased by 4 kg when one of them, whose weight is 100 kg, is replaced by another man. What is the weight of the new man?
A hemispherical bowl of internal radius 18 cm is full of liquid. This liquid is to be filled in cylindrical bottles each of radius 3 cm and height 6 cm. How many bottles are required to empty the bowl?