Question 1137114
here's my worksheet.


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in problem 1, x is the height of the building.


tan(35) = x / 150


solve for x to get x = 150 * tan(35) = 105.0311307 feet.


rounded to the nearest tenth of a foot, it's 105 feet.


rounded to the nearest hundredth of a foot, it's 105.03 feet.


in problem 2, x is the distance from the lighthouse.


the angle of depression is 20 degrees.


a right triangle is formed where the vertical distance is 15 and the horizontal distance is x.


the top angle of the triangle is 70 which makes the bottom right angle equal to 20 degrees.


tan(20) = 15 / x


solve for x to get x = 15 / tan(20) = 41.21216129 feet.


round to nearest tenth to get 41.2 feet.


round to nearest hundredth to get 41.21 feet.


in problem 3, the horizontal distance is 7 and the vertical distance is 1.


x is the angle of elevation from the ground.


tan(x) = 1/7.


solve for x to get x = arc tangent (1/7) = 8.130102354 degrees


round to nearest tenth to get 8.1 degrees.


round to nearest hundredth to get 8.13 degrees.