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Relative Velocity in 2D

A ball is thr...

Question

A ball is thrown up from the top of a tower with an initial velocity of $10$ m/s at an angle of $30^{o}$ with the horizontal. It hits the ground at a distance of $17.3$ m from the base of tower. Calculate the height of the tower. $(g = 10 m / s^{2})$

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Solution

an angle of 30° and base of 17.3M.

trigonometric ratios to solve.

use tan.

$T a n θ = \frac{O p p o s i t e}{a d j a c e n t}$

$T a n 30 ° = \frac{h}{17.3}$

$h = T a n 30 \times 17.3$

$h = 0.5774 \times 17.3 = 9.99 M$

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