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1.	One of the applications of trigonometry is used for astronomers to find the distance between two planets.(a) False(b) TrueThe question was posed to me during an interview.My question is from Trigonometry Application in section Trigonometry Application of Mathematics – Class 10
Answer» CORRECT answer is (b) True For explanation I would say: The length or HEIGHT or distance between two objects can be known using trigonometry. Trigonometry is applied in astronomy, NAVIGATION, ARCHITECTURE, ETC.

2.	A tree trunk of height 12 meters is erected with the support of three metal chains. An angle of 60° is made by each metal chain with the tree trunk. Find the length of the metal chain.(a) 32 meters(b) 10meters(c) 24 meters(d) 18 metersI had been asked this question in homework.The doubt is from Trigonometry Application in chapter Trigonometry Application of Mathematics – Class 10
Answer» Right choice is (c) 24 METERS The explanation: We have to find the length of the METAL CHAIN AC. cos 60° = \(\frac {BC}{AC}\) \( \frac {1}{2} = \frac {12}{AC}\) AC = 24 meters

3.	A pole stands vertically on the floor. From a point, it is 120 meters away from the foot of the pole and the angle of elevation is 45° then find the height of the pole.(a) 100 meters(b) 180 meters(c) 120 meters(d) 10 metersI got this question in final exam.Asked question is from Trigonometry Application topic in division Trigonometry Application of Mathematics – Class 10
Answer» Right OPTION is (c) 120 meters To explain: In the figure, BC is the HEIGHT of the pole. In ∆ABC, TAN 45° = \(\FRAC {BC}{AB}\) 1 = \(\frac {BC}{AB}\) 1 = \(\frac {BC}{120}\) BC = 120 meters

4.	What happens to the angle of elevation if the height of a tower, the distance between the tower and the observer is doubled?(a) Doubled(b) halved(c) Tripled(d) Remains the sameThe question was posed to me in exam.The above asked question is from Trigonometry Application in chapter Trigonometry Application of Mathematics – Class 10
Answer» The correct choice is (d) Remains the same The best explanation: The ANGLE of elevation is independent of the height of an object and the DISTANCE between the object and the OBSERVER. So, the angle of elevation remains the same when the height of a tower, the distance between the tower and the observer is DOUBLED.

5.	A slide should be built in a park that has to be set up at 10 meters height and also 10 meters away from the support. What should be the angle of elevation?(a) 45°(b) 30°(c) 60°(d) 90°This question was posed to me in a job interview.My enquiry is from Trigonometry Application topic in portion Trigonometry Application of Mathematics – Class 10
Answer» The correct choice is (a) 45° Explanation: The angle between AC and BC is the angle of ELEVATION that has to be found. TAN⁡ θ = \(\frac {AB}{BC} = \frac {10}{10} \) Tan θ = 1 θ = 45°

6.	_____ is drawn from the eye of an observer to the targeted object.(a) A parallel line(b) Line of sight(c) Elevation line(d) Depression lineI have been asked this question in exam.This intriguing question originated from Trigonometry Application in chapter Trigonometry Application of Mathematics – Class 10
Answer» CORRECT answer is (B) Line of sight The EXPLANATION is: The line of sight is a line that is DRAWN from the eye of an observer to the targeted object viewed by the observer and the line of sight is required to FORM the angle of elevation.

7.	A slope is built against a wall which makes an angle 30° with the ground and the height of the wall is 2 meters. Find the length of the slope in meters.(a) 2(b) 4(c) 1(d) 3I had been asked this question in exam.This is a very interesting question from Trigonometry Application topic in section Trigonometry Application of Mathematics – Class 10
Answer» Correct CHOICE is (B) 4 Easiest explanation: AC is the length of the slope in ∆ABC. sin 30° = \(\frac {AB}{AC}\) \( \frac {1}{2} = \frac {2}{AC}\) AC = 4 meters

8.	A ship has to cross a sea by making an angle of 30° and with a distance of 200 meters to reach the shore then find the width of the sea.(a) 300 meters(b) 100 meters(c) 110 meters(d) 50 metersI got this question in an internship interview.My enquiry is from Trigonometry Application in division Trigonometry Application of Mathematics – Class 10
Answer» CORRECT ANSWER is (B) 100 meters Explanation: The WIDTH of the river is BC in the figure. sin 30° = \(\frac {BC}{AC}\) \( \frac {1}{2} = \frac {BC}{200}\) BC = 100 meters

9.	The angle of depression is always a/an _____ angle.(a) right(b) obtuse(c) complete(d) acuteI got this question in an online quiz.My question is taken from Trigonometry Application topic in section Trigonometry Application of Mathematics – Class 10
Answer» The correct CHOICE is (d) acute Explanation: The ANGLE of elevation is an acute angle. The angles that are less than 90° are CALLED as acute angles. The angle of depression is ALSO an acute angle.

10.	The distance between two objects can be known using trigonometric ratios.(a) True(b) FalseThis question was posed to me during an interview.My question comes from Trigonometry Application topic in division Trigonometry Application of Mathematics – Class 10
Answer» Right choice is (a) True Easy explanation: Finding the distance between two objects is one of the different applications of TRIGONOMETRY. Trigonometry is ALSO used to FIND the height or length of an OBJECT too.