Mathematics TERM II
Some Applications of Trigonometry
Class 10 Session 2021-2022
Case Study Questions 01
Height of Tree/Tower: Mr. Suresh is an electrician. He receives a call regarding a fault on a pole from three different colonies A, B and C. He reaches one-by-one to each colony to repair that fault. He needs to reach a point 1.3 m below the top of each pole to undertake the repair work. Observe the following diagrams.
1. What should be the length of ladder DQ that enable him to reach the required position if the height of the pole is 4 m?
(a) `\frac{5\sqrt{3}}{7}` m
(b) `\frac{9\sqrt{3}}{5}` m
(c) `\frac{7\sqrt{2}}{5}` m
(d) `\frac{4\sqrt{3}}{5}` m
(b) `\frac{9\sqrt{3}}{5}` m
2. What is the distance of the point where the ladder is placed on the ground if the height of pole is 4 m?
(a) 2.5 m
(b) 3.8 m
(c) 1.56 m
(d) 5.3 m
(c) 1.56 m
Refer to Diagram B
3. Given that the length of ladder is `4\sqrt{2}` m . What is height of pole?
(a) `4\frac{1}{2}` m
(b) `4\sqrt{5}` m
(c) `5\sqrt{5}` m
(d) 5.3 m
(d) 5.3 m
4. The distance of the point where the ladder lies on the ground is
(a) `3\sqrt{5}` m
(b) `4\sqrt{2}` m
(c) 4 m
(d) `4\sqrt{7}` m
(c) 4 m
Refer to Diagram C
5. The angle of elevation of reaching point of ladder at pole, i.e., H, if the height of the pole is 8.3 m and the distance GF
is `7\sqrt{3}` m, is
(a) 30°
(b) 60°
(c) 45°
(d) None of these.
(a) 30°