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8 June, 19:05

A spectator in the stands spots the team mascot on the field an angle of depression of 46 degrees. If the spectator is sitting 35 feet above the ground, what is the horizontal distance between the spectator and the mascot

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  1. 8 June, 21:12
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    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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