# True/False

## Chapter 9: Some Applications of Trigonometry

### Class 10

True False Mathematics Chapter 9: Some Applications of Trigonometry for Class 10th is very important as these type of questions help in scoring good marks. True False type questions are to be answered to the point and hence very helpful in overall scoring. True False Type of questions helps students to think Critically on every aspects of life.

Here is a collection of few questions for CBSE Class 10th Term 2 Exams. These True False are fully solved.

#### State whether the following statements are True/False.

DIRECTION : (Q.1 to 4) Read the following statements and write your answer as true or false.
A straight highway leads to the foot of a tower of height 50 m. From the top of the tower, the angles of depression of two cars standing on the highway are 30^{0} and 60^{0}. Now, based on the above information, mark the given statements as true or false.

Question.1.
Distance between the cars is 57.6 m.

True

Question.2.
First car is at a distance of 38.90 m from the tower.

False

Question.3.
Second car is at a distance of 86.50 m from the tower.

True

Question.4.
Car at point C is at a distance of 200 m away from the top of the tower.

False

Question.5.
When the length of the shadow of a pole is equal to the height of the pole, then the angle of elevation of source of light is 90^{0}.

False

Question.6.
When we lower our head to look at the object, the angle formed by the line of sight with horizontal is known as angle of depression.

True

Question.7.
If two towers of height h_{1} and h_{2}, and \frac{h_{1}}{x}=\tan 60; \frac{h_{2}}{x}=\tan 30 respectively at the mid-point of the line joining their feet then, h_{1}:h_{2}= 3:1.

True

Question.8.
The angle of elevation of the top of a tower is 30^{0} in Figure. If the height of the tower is doubled, then the angle of elevation of its top will also be doubled.

False

Question.9.
If the height of a tower and the distance of the point of observation from its foot, both are increased by 10%, then the angle of elevation of its top remains unchanged.

True

Question.10.
The angle of elevation of the top of a building from the top and bottom of a tree are x and y respectively, If the height of the tree is h metre, then the height of the building is \frac{h \cot x}{\cot x-\cot y}

True

Question.11.
The angle for which sine and cosine have equal values is 90^{0}.

False

Question.12.
If a man standing on a platform, 3 metres above the surface of a lake observes a cloud and its reflection in the lake, then the angle of elevation of the cloud is equal to the angle of depression of its reflection (Figure).

False

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