Solving Problems Using Trigonometric Ratios

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An eight foot wire is attached to the tree and to a stake in the ground.

From the stake in the ground the angle of elevation of the connection with the tree is 42º.

Find to the is a support wire used to hold a newly planted tree in place, preventing it from bending or up-rooting during high winds. • It is assumed that the tree is vertical, making it perpendicular with the ground.

• This problem deals with "opposite" and "hypotenuse" making it a sine problem.

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• From the top of a fire tower, a forest ranger sees his partner on the ground at an angle of depression of 40º.

If the tower is 45 feet in height, how far is the partner from the base of the tower, to the • Remember that the "angle of depression" is from a horizontal line of sight downward.

• This solution deals with "opposite" and "adjacent" making it a tangent problem. From a point 87 feet from the base of the tower, the angle of elevation of the top of the first section is 25º, and the angle of elevation of the top of the second section is 40º.

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