Solving Right Triangles Word Problems Worksheet

Solving Right Triangles Word Problems Worksheet-62
In the diagram, the angle marked A nursery plants a new tree and attaches a guy wire to help support the tree while its roots take hold.An eight foot wire is attached to the tree and to a stake in the ground.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.

Notice how the horizontal line in the angle of depression diagram is PARALLEL to the ground level.

The fact that horizontal lines are always parallel guarantees that the alternate interior angles are equal in measure.

The situations you will be examining will be specifically related to right triangles, and you will be using our three main trigonometric functions.

Once a diagram is established, the mathematical solution will be the same as those shown on Solving for Sides or Solving for Angles.

• This solution will use alternate interior angles from the parallel horizontal lines, so place 40º inside the triangle by the partner (bottom right).

• 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.

In the right triangle ABC the side which is opposite to angle 60 degree is known as opposite side (AB), the side which is opposite to 90 degree is called hypotenuse side (AC) and remaining side is called adjacent side (BC). Sin θ = Opposite side/Hypotenuse sidesinθ = AB/ACsin 60° = AB/100√3/2 = AB/100(√3/2) x 100 = ABAB = 50 √3 m So, the height of kite from the ground 50 √3 m.

Here AB represents height of the tower, BC represents the distance between foot of the tower and the foot of the tree.

Find the distance of the foot of the ladder from the wall.

Also, find the distance from the ground to the top of the ladder.

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