A 6-ft antenna is installed at the top of a roof which slopes at an angle of 28° (note :drawing not drawn to scale). A guy wire is to be attached to the top of the antenna and to a point 10 feet down from the peak of the roof. If the angle of elevation of the roof is 28°, then what length guy wire is needed?

Q: A communications tower is located at the top of a steep hill.  The angle of inclination of the hill…

A:

Q: How high does a 17-foot-tall temporary support post reach when it is positioned at a 30° angle to…

A: Let height be h and we know that in a right angle triangle  sinθ=side opposite to…

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

A:

Q: A plane takes off from a runway and travels 50,000ft at a constant angle of incline. The planes…

A: According to the question, the figure will be:   To find: Value of x.

Q: It is 58 road miles from Denver to the Eisenhower tunnel. Denver is 5882 ft above sea level. The…

A: The distance between Denver to the Eisenhower Tunnel is 58 milesDenver is 5882 ft above mean sea…

Q: A camera has been set up to record a diver at a diving competition. What is important for those…

A: Given figure is

Q: A railroad bridge over New Scotland Road in Slingerlands, New York, has a low clearance for trucks.…

A: From the given information we get, An engineer standing 20ft away measures a 15.4° angle of…

Q: A surveyor observes that the angle between the road and the bottom of a bridge girder is 30 degrees.…

A: Given data is : Angle θ=30∘ Bridge clearance is 16.5 feet. To find the horizontal distance from the…

Q: To the nearest tenth, what angle of descent (angle of depression) must a plane 264,000 horizontal…

A:

Q: 3. You set up a makeshift greenhouse by leaning a square pane of glass against your house. The glass…

A: Given : Glass is 4.5 ft long and makes an angle of 30° with the ground.

Q: 2. Miguel is flying his kite at an angle of elevation of about 30. When all of the rope was released…

A:

Q: It is desired to determine the height of a flagpole. Assuming that the ground is level, an…

A: To find: We have to find how tall is the flagpole from its base i.e., the height of the flagpole.

Q: The angle of elevation from a ship to the top of a 48m lighthouse on the shore measures 27 degrees.…

A:

Q: You are a secret agent trapped at the top of a tall building. To escape, you decide to slide down a…

A: The objective of this question is to find the length of the zip line. We can use trigonometry to…

Q: 6) The angle of depression from the paraglider to the boat (as shown in the diagram) is 36°. When…

A: Using trigonometric ratios

Q: A submarine traveling at 9 mph is descending at an angle of depression of 5 degrees. How many…

A: Given, a submarine traveling at 9 mph is descending at an angle of depression of 5 degrees.

Q: A person stands 35.0 m from a flag pole. With a protractor at eye level, he finds that the angle at…

A: Given:- A person stands 35.0 m from a flag pole. With a protractor at eye level, he finds that the…

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.