Question

If the angles of the elevation of a tower from two points distant a and b (a>b) from its foot and in the same straight line from it are 30° and 60°, then the height of the tower is A. √a + b B. √ab C. √a - b D. √ 1/b

Answer 1

To find the height of the tower with given angles of elevation, we can use trigonometry and the Pythagorean theorem. The correct answer is C. √a - b.

Step-by-step explanation:

To find the height of the tower, we can use the concept of trigonometry and the Pythagorean theorem. Let's consider a right triangle with the tower as the vertical side and a and b as the horizontal sides.

Since the angles of elevation are 30° and 60°, we can use tangent and sine ratios to determine the height of the tower. Using trigonometric identities, we can express the height of the tower as √3a - √3b.

Therefore, the correct answer is C. √a - b.

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