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The staircase rises 52° from the ground and a vertical distance of 12 yards. How much horizontal distance does the staircase cover? Round to the nearest tenth.

Answer :

carlosego
For this case what we should do is use the following trigonometric formula.
 tan (theta) = y / x
 Where,
 theta: angle
 y: vertical distance
 x: horizontal distance
 Substituting values we have:
 tan (52) = 12 / x
 Clearing x:
 x = (12) / (tan (52))
 x = 9.375427518
 Round to the nearest tenth:
 x = 9.4 yards.
 Answer:
 the staircase covers:
 x = 9.4 yards.

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