3 years ago

Is the tangent ratio used for acute, obtuse, right or all?

Mathematics

1 answer:

sveta [45]3 years ago

8 0

The tangent ratio is used for right triangles

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$t\approx 5.865\,s$

Step-by-step explanation:

The motion equations that describe the ball are, respectively:

$x = \left[\left(152\,\frac{ft}{s} \right)\cdot \cos 52^{\circ} \right] \cdot t$

$y = 4.5\,ft + \left[\left(152\,\frac{ft}{s} \right)\cdot \sin 52^{\circ} \right] \cdot t - \frac{1}{2}\cdot \left(32.174\,\frac{ft}{s^{2}} \right) \cdot t^{2}$

The time required for the ball to hit the ground is computed from the second equation. That is to say:

$4.5\,ft + \left[\left(152\,\frac{ft}{s} \right)\cdot \sin 52^{\circ} \right] \cdot t - \frac{1}{2}\cdot \left(32.174\,\frac{m}{s^{2}} \right) \cdot t^{2} = 0$