NDA || Mathematics || Applications of Trigonometry || Quiz 2020

If an angle of a parallelogram is 28^o more than adjacent angle, find the largest angle.

Consider the following statements :

1) There exists no triangle ABC for which sin A + sin B = sin C

2) If the angles of a triangle are in the ratio 1 : 2 : 3, then its sides will be in the ratio .

Which of the above statements is/are correct?

If A and B are acute angles such that tanA=1/3 and tanB=1/2 then A+B=?

The angles of elevation of the top of a tower standing on a horizontal plane from two points on a line passing through the foot of the tower at distances 49 m and 36 m are 43° and 47° respectively. What is the height of the tower?

A moving boat is observed from the top of a cliff of 150 m height. The angle of depression of the boat changes from 60o to 45o in 2 minutes. What is the speed of the boat in metres per hour?

The angle of elevation of the top of an unfinished tower at a distance of 75m from its base is 30⁰. How much higher must the tower be raised so that the angle of elevation of its top at the same point may be 60⁰

The angles of elevation of the top of a tower from the top and foot of a pole are respectively 30^o and 45^o. If h is the height of the tower and y is the height of the pole, then which of the following are correct?

1)

2)

3)

Select the correct answer using the code given below.

If the angles of a triangle ABC are in the ratio 1 : 2 : 3, then the corresponding side are in the ratio

Angle  is divided into two parts A and B such that  and  The value of  is equal to

If  and  are the angles which the vector  (O being the origin) makes with positive direction of the coordinate axes, then which of the following are correct?

1)

2)

3)

Select the correct answer using the code given below.