From a 200 m tall tower, the angles of depression of the top and bottom of a pole are\[\text{3}0{}^\circ \]and\[\text{6}0{}^\circ \]respectively. What are the respective values of height and distance of the pole from the tower?

One atomic mass unit is equal to:

The times (in seconds) taken by 72 atheletes to run a 200 m hurdle race are tabulated below: Class 15.2\[-\]15.4 15.4\[-\]15.6 15.6\[-\]15.8 15.8\[-\]16.0 Frequency 13 19 23 17 If an athelete is chosen at random, then find the probability that he is the one who has completed the race in less than 15.8 seconds.

The value of \[{{\cos }^{2}}0{}^\circ +{{\cos }^{2}}30{}^\circ +{{\cos }^{2}}45{}^\circ +{{\cos }^{2}}60{}^\circ +{{\cos }^{2}}90{}^\circ \] is

Which of the following is equal to \[2\,\,ta{{n}^{2}}A-2\,\,se{{c}^{2}}A-5\,\,co{{t}^{2}}A+5\,\,\cos e{{c}^{2}}A\]?

Which of the following is equal to a\[\left( 1+ta{{n}^{2}}\theta  \right)\]\[\left( 1-sin\theta  \right)\left( 1+sin\theta  \right)\left( 1+cos\theta  \right)\left( 1-cos\theta  \right)\]\[\left( 1+co{{t}^{2}}\theta  \right)\]?

Select the correct tense form from the given options to replace the underlined words in the given sentences which have been placed incorrectly: I have a very urgent work to do, I wish it is raining.

The value of \[32{{\cot }^{2}}\frac{\pi }{4}-8{{\sec }^{2}}\frac{\pi }{3}+8co{{s}^{3}}\frac{\pi }{6}\] is

How can we purify the blood by artificial methods?

A number p is selected from the numbers 1, 3, 5 and then a second number q is randomly selected from the numbers 1, 6, 9. What is the probability that the product pq of the two numbers will be less than 20?