In a conical tent, a person is standing at the circumference of the base. The angle of elevation of vertex of the tent is 60° and its height is 50 m. Find the cost of material used to make the tent at the rate of ₨. 16.5/meter. (Use \(\pi\) = 3.14) |
₨. 156852 ₨. 124596 ₨. 256654 ₨. 124344 |
₨. 124344 |
CSA = \(\pi\)rl tan 60° = \(\sqrt{3}\) : 1 (AB) (BC) ↓ 60 ↓ \(\frac{60}{\sqrt{3}}\) = 20\(\sqrt{3}\) sin 60° = \(\sqrt{3}\) : 2 (AB) (AC) ↓ 60 ↓ 2 x \(\frac{60}{\sqrt{3}}\) = 40\(\sqrt{3}\) CSA = \(\pi\)rl = \(\pi\) x 20\(\sqrt{3}\) X 40\(\sqrt{3}\) = 7536 Cost of the material = 7536 x 16.5 = ₨. 124344 |