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Numerade Educator

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Problem 5 Easy Difficulty

The press box at a baseball park is 44.5 ft above the ground. A
reporter in the press box looks at an angle of $13.4^{\circ}$ below the horizontal to see second base. What is the horizontal distance from the press box to second base?

Answer

187 $\mathrm{m}$

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JM

Jo-Ana M.

February 15, 2021

A vector A? has a magnitude of 40.0 m and points in a direction 20.0? below the positive x axis. A second vector, B? , has a magnitude of 75.0 m and points in a direction 50.0? above the positive x axis.

Video Transcript

we're told that the press box at a baseball park is 44.5 feet above the ground and the second base yes, 13.4 degrees below the horizontal. Here I've drawn a diagram of the press box is in second base. The question asked, What is the horizontal distance from the press box to second base? And here I've lived with it by the letter X. So first, let's noticed that these two lines are parallel so that the inside angles are equal. So no, let's notice that we have the wind direction. We have an angle and we want to find the axe. So you remember from trigonometry. The tangent oven angle is equal to why divided by axe. Here we have why and we have the angle. But we're trying to find X, so we give you. Write this as X equals y, divided by tangent of the angle. If we going everything in, we find that the ex direction is approximately 187 feet. Thus, the horizontal distance from the press box to second base. There's 187 feet