Some Applications of Trigonometry Case Study Based Questions 03 Term II

Mathematics TERM II

Some Applications of Trigonometry

Class 10 Session 2021-2022

Case Study Questions 03

A satellite flying at a height h is watching the top of the two tallest mountains in Uttarakhand and Karnataka, they are being Nanda Devi (height 7,816 m) and Mullayanagiri (height 1,930 m). The angles of depression from the satellite, to the top of Nanda Devi and Mullayanagiri are 30° and 60° respectively. If the distance between the peaks of two mountains is 1937 km, and the satellite is vertically above the mid-point of the distance between the two mountains.

1. The distance of the satellite from the top of Nanda Devi is

(a) 1118.29 km
(b) 577.52 km
(c) 1937 km
(d) 1025.36 km

(a) 1118.29 km

2. The distance of the satellite from the top of Mullayanagiri is

(a) 1139.4 km
(b) 577.52 km
(c) 1937 km
(d) 1025.36 km

(c) 1937 km

3. The distance of the satellite from the ground is

(a) 1139.4 km
(b) 566.96 km
(c) 1937 km
(d) 1025.36 km

(b) 566.96 km

4. What is the angle of elevation if a man is standing at a distance of 7816 m away from Nanda Devi?

(a) 30°
(b) 45°
(c) 60°
(d) 0°

(b) 45°

5. If a mile stone very far away from, makes 45° to the top of Mullayangiri mountain. So, find the distance of this mile stone from the mountain.

(a) 1118.327 km
(b) 566.976 km
(c) 1937 km
(d) 1025.36 km

(c) 1937 km

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