Applications of Trigonometry

Say 'TRUE' or 'FALSE'
If the length of the shadow of tower is increasing, then the angle of elevation of the sun is also increasing

• TRUE
• FALSE

Say 'TRUE' or 'FALSE'
In a right triangle, if two acute angles are equal then the length of hypotenuse is √2 times the length of each side 

• TRUE
• FALSE

In a right triangle, one side other than the hypotenuse is 8 cm and an acute angle is 45°. What is the length of the hypotenuse?

• 4 cm
• 8 cm
• 8√2 cm
• None of the above

In a right triangle, hypotenuse is 10 cm long and an acute angle is 30°. What is the length of the side opposite to this angle?

• 5 cm
• 5√2 cm
• 10 cm
• None of the above

The length of the shadow of a 4 m high vertical pole on the level ground at an instant when the sun elevation is 60° is___

• 2 m
• 4√3 m
• 4⁄√3 m 
• 4 m

The ratio of the length of the pole and its shadow is 1 : √3.  The angle of elevation of the sun is ____

• 30°
• 60°
• 45°
• 90°

• 30°
• 60°
• 45°
• 90°

• 10 cm
• 10√3 cm
• 5 cm
• 20 cm

The angle of elevation of the top of a tower is 30°.  If the height of the tower is doubled then the angle of elevation of the top will be_____

• No change: 30°
• Will be doubled : 60°
• will become 45°
• None of the above

Say 'TRUE' or 'FALSE'
If both the height of the pole and the distance of the point of observation from the foot are increased by the same length, the angle of elevation of its top remains unchanged

• TRUE
• FALSE