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

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

Combining your skills with similar triangles, trigonometry and the Pythagorean Theorem, you are ready to tackle problems that are connected to more real world scenarios.

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

• It is assumed that the tower is vertical, making it perpendicular with the ground.

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

2.5 miles of that is grass, so the plane will pass over 2.5 miles of grass and 0.7 miles of runway before touching down 0.7 miles from the end of the runway.

OK, now that you've saved the airplane from crashing, you decide to retire and use your geometry skills in a cushy job building ski lifts for rich tourists in Switzerland. Ski Lift Corp wants to build a ski lift at a 30-degree angle of elevation up to the very peak of a mountain.

• 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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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.

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