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Name Period Date WORKSHEET - REAL WORLD TRIANGLE PROBLEMS 1. A surveying crew is given the job of measuring the height of a mountain. From a point on level ground they measure an angle of elevation to the top of 22. They move 507 meters closer and find the angle is now 36. How high is the mountain You may need to calculate some other numbers first. 2. Suppose that you are a pilot of a commercial airliner. You find it necessary to detour around a group of thundershowers. You turn at an angle of 21 to your original path fly for a while turn and intercept your original path at an angle of 35 70 km from where you left it. How much further did you have to go because of the detour 3. A geologist prospecting for oil finds a likely rock formation outcropping from the ground. The dip angle is 27. A If the oil well is located 5971 feet from the nearest edge of the outcropping how deep will the driller have to go to reach the formation B If the formation is 54 feet wide where it outcrops how much....

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The concept of right triangles is used because carpenters need to be sure that walls are straight and corners are square. The Pythagorean Theorem relates the lengths of sides of a right triangle. Carpenters also use curves to create archways above windows and doors using the properties of circles.

One of the most common examples of a right triangle seen in real life is a situation in which a shadow is cast by a tall object. For example, if a 40 ft. tree casts a 20 ft. shadow, at what angle from vertical is the sun shining?

Right Triangle Definition and Identification. 9 Examples of Right Angled Triangle in Real Life. Roof Trusses with Right Triangle. Right Triangles in Ramps. Bridge Trusses with Right Angles. Triangle Gates with Right Triangle. Sails on Boats with Right Triangle. Stair Banisters with Right Triangle.

Buildings, Monuments, and Tower To make them more beautiful and fascinating, many structures are built in triangle designs. The network towers, as well as the most iconic Eiffel tower, are triangular in design. Because it forms a sturdy base, the triangular shape offers the structure strength.

Some real-life examples of triangles include sandwiches, traffic signs, cloth hangers, and a rack in billiards.

Examples of right angles are all around us. We can see right angles in the corners of a room, book, cube, windows and at several other places. A vertical and a horizontal line makes the most common right angles. However, diagonal lines intersecting each other also form right angles.

A right-triangle word problem is one in which you are given a situation (like measuring something's height) that can be modelled by a right triangle. You will draw the triangle, label it, and then solve it; finally, you interpret this solution within the context of the original exercise.

One example is building an A-frame house. The bar of the frame being parallel to the ground leads to similar triangles, and the dimensions of the frame will reflect that similarity.

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