You walk around a portion of a circle of radius r. The angle that you trace out as you walk is 120° and the distance s that you traveled along that 120 degrees arc was 10 miles. What is the radius r of the circle? Approximate your answer to two decimal places.

Q: 3. Altitude of a hot air balloon. The angle of depression 0 from a hot air balloon to the recovery…

A: Given the angle of depression is 33 Let the height of the balloon above the valley floor is x ft.

Q: Enter the exact answers. The angle is Edit radians. The angle is degrees.

A:

Q: Miguel drives 220 meters up a hill that makes an angle of 4° with the horizontal ground. To the…

A: The figure of problem

Q: An airplane descends at an angle of depression of 22" for a ground distance of 7850 feet. What…

A:

Q: Find the angle of elevation of the sun, in degrees, when a 12 meter tall telephone pole casts a 21.6…

A:

Q: Yandel will place a ramp over a set of stairs at the backyard entrance so that one end is 7 feet off…

A: one end of the ramp is 7 feet off the groundother end is horizontal distance of 40 feet awayeach…

Q: You want to measure the height of an antenna on the top of a 125-foot building. From a point in…

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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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Q: An ant looks up at a UFO at an angle of elevation of 23 degrees. The ant noticed that the shadow of…

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Q: The lifeguard stand is 10 ft high. A lifeguard is looking down at a swimmer in a swimming pool.…

A: Given Data: The height of the lifeguard stand is: h=10 ft The angle of depression is: ∠L=41° The…

Q: You are standing on top of a cliff 500 ft. above the ocean looking out at the water.  You see a…

A: tanθ=oppositeadjacentIn this question, opposite is the height and adjacent is the base

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.