Trusses are frequently used to support roofs on buildings. The simplest type of roof truss is a triangle, as shown in the figure. One basic task when constructing a roof truss is to cut the ends of the rafters so that the roof has the correct slope. Use part (b) of the figure to determine the measure of angle B. Hint You have three versions of the Law of Cosines from which to choose: only one of them contains the angle for which you are solving! 116

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A:

Q: 4. John is in a rescue helicopter that is 100 m. above the water. Below he can see a swimmer in…

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Q: Sec. 2.4 Mrs. LaPorte wants to build a wheelchair ramp for the step up to her nephew's front door.…

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A:

Q: Sargent Johnson wants to find the height of the school flag above the football field. His eye height…

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Q: A man is standing near a radio station antenna and observes that the angle of elevation to the top…

A: Redraw the diagram as shown below:

Q: The world's largest dinosaur, in Drumheller, is 86 ft tall. Anita measured the angles of elevation…

A: Using trigonometric functions,

Q: 1. Berkley is flying a kite. The string is all the way out, which means it is 425 meters away.…

A: let distance between kite and dog is x m according to sines lawsin(A)a=sin(B)b=sin(C)c

Q: A dead tree is very close to your house and you would like to estimate the tree's height to see if…

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A:

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Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.