Teachoo MCQ Test

Case Based MCQ Quiz

Preparing for CBSE

Chapter 8 Class 10 Introduction to Trignometry | 10 questions

Timed test. Answer every question before time runs out. Correct answers and solutions appear after submission.
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Question 1 of 10
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Question 1 of 10
Skysails is that
Skysails is that
'Skysails' is that genre of engineering science that uses extensive utilization of wind energy to move a vessel in the sea water. The sky sails technology allows the towing kite to gain a height of anything between 100 m to 300 m . The sailing kite is made in such a way that it can be raised to its proper elevation and then brought back with the help of a telescopic mast that enables the kite to be raised properly and effectively. Based on the following figure related to sky sailing answer the questions:
In the given figure, if \(\tan \theta=\cot \left(30^{\circ}+\theta\right)\), where \(\theta\) and \(30^{\circ}+\theta\) are acute angles, then the value of \(\theta\) is:
Select one option. Answers are shown after the test.
Question 2 of 10
Skysails is that
Skysails is that
'Skysails' is that genre of engineering science that uses extensive utilization of wind energy to move a vessel in the sea water. The sky sails technology allows the towing kite to gain a height of anything between 100 m to 300 m . The sailing kite is made in such a way that it can be raised to its proper elevation and then brought back with the help of a telescopic mast that enables the kite to be raised properly and effectively. Based on the following figure related to sky sailing answer the questions:
The value of \(\tan 30^{\circ} \cdot \cot 60^{\circ}\) is:
Select one option. Answers are shown after the test.
Question 3 of 10
Skysails is that
Skysails is that
'Skysails' is that genre of engineering science that uses extensive utilization of wind energy to move a vessel in the sea water. The sky sails technology allows the towing kite to gain a height of anything between 100 m to 300 m . The sailing kite is made in such a way that it can be raised to its proper elevation and then brought back with the help of a telescopic mast that enables the kite to be raised properly and effectively. Based on the following figure related to sky sailing answer the questions:
What should be the length of the rope of the kite sail in order to pull the ship at the angle \(\theta\) and be at a vertical height of 200 m ?
Select one option. Answers are shown after the test.
Question 4 of 10
Skysails is that
Skysails is that
'Skysails' is that genre of engineering science that uses extensive utilization of wind energy to move a vessel in the sea water. The sky sails technology allows the towing kite to gain a height of anything between 100 m to 300 m . The sailing kite is made in such a way that it can be raised to its proper elevation and then brought back with the help of a telescopic mast that enables the kite to be raised properly and effectively. Based on the following figure related to sky sailing answer the questions:
If \(\cos A=\frac{1}{2}\), then the value of \(9 \cot ^2 A-1\) is :
Select one option. Answers are shown after the test.
Question 5 of 10
Skysails is that
Skysails is that
'Skysails' is that genre of engineering science that uses extensive utilization of wind energy to move a vessel in the sea water. The sky sails technology allows the towing kite to gain a height of anything between 100 m to 300 m . The sailing kite is made in such a way that it can be raised to its proper elevation and then brought back with the help of a telescopic mast that enables the kite to be raised properly and effectively. Based on the following figure related to sky sailing answer the questions:
In the given figure, the value of \((\sin C+\cos A)\) is:
Select one option. Answers are shown after the test.
Question 6 of 10
A circus artist
A circus artist
A circus artist is climbing from the ground along a rope stretched from the top of a vertical pole and tied at the ground. The height of the pole is 12 m and the angle made by the rope with ground level is \(30^{\circ}\).
Give answer to the following questions
The distance covered by the artist in climbing the top of the pole is:
Select one option. Answers are shown after the test.
Question 7 of 10
A circus artist
A circus artist
A circus artist is climbing from the ground along a rope stretched from the top of a vertical pole and tied at the ground. The height of the pole is 12 m and the angle made by the rope with ground level is \(30^{\circ}\).
Give answer to the following questions
The length of BC is:
Select one option. Answers are shown after the test.
Question 8 of 10
A circus artist
A circus artist
A circus artist is climbing from the ground along a rope stretched from the top of a vertical pole and tied at the ground. The height of the pole is 12 m and the angle made by the rope with ground level is \(30^{\circ}\).
Give answer to the following questions
If \(\sin (A+B)=\frac{\sqrt{3}}{2}\), then the value of \((A+B)\) is:
Select one option. Answers are shown after the test.
Question 9 of 10
A circus artist
A circus artist
A circus artist is climbing from the ground along a rope stretched from the top of a vertical pole and tied at the ground. The height of the pole is 12 m and the angle made by the rope with ground level is \(30^{\circ}\).
Give answer to the following questions
In \(\triangle A B C\), given that \(\angle A=60^{\circ}\) and \(\angle C=30^{\circ}\), then value of \(\sin A \cos C +\cos \mathrm{C} \sin \mathrm{A}\) is
Select one option. Answers are shown after the test.
Question 10 of 10
A circus artist
A circus artist
A circus artist is climbing from the ground along a rope stretched from the top of a vertical pole and tied at the ground. The height of the pole is 12 m and the angle made by the rope with ground level is \(30^{\circ}\).
Give answer to the following questions
Which mathematical concept is used in this problem?
Select one option. Answers are shown after the test.