True/False
Mathematics
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 midpoint 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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