Some Applications of Trigonometry Case Study Based Questions 01 Term II

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.Refer to Diagram A
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°

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