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aivan3 [116]
2 years ago
3

A spectator in the stands spots the team mascot on the field an angle of depression of 46 degrees. If the spectator is sitting 3

5 feet above the ground, what is the horizontal distance between the spectator and the mascot
Mathematics
1 answer:
Veseljchak [2.6K]2 years ago
5 0

Answer:

Step-by-step explanation:

From the trigonometry ratio, tan46° = opposite side / adjacent . The horizontal distance between the spectator and the mascot is the adjacent. Therefore, tan46°= 35/x which is the adjacent. Using your log tables, tan46° = 1.0355; x = 35/1.0355

X = 33.80feet, therefore the horizontal distance is 33.80 feet.

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\dfrac{3\pi}4 is larger than \dfrac\pi2 and thus does not fall in the "invertible part" of the domain of \sin x. We have

\sin\dfrac{3\pi}4=\dfrac1{\sqrt2}

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