wire is attached from the top of a 30-foot tall telephone pole to a stake in the ground. If the angle formed by the wire and the pole is 48°, what is the length of the wire?

Q: The town of Sofia Germain has a smokestack that is 160 feet high. A guy wire must be fastened to the…

A: Given the height of a smokestack is 160 feet. And a guy wire must be fastened to the smokestack 45…

Q: Hannah leans a 16-foot ladder against a wall so that it forms an angle of 61° with the ground.…

A:

Q: I am standing 50 feet away from the flagpole outside of Southmith High School. I look up to the top…

A: I am standing 50 feet away from the flagpole outside of Southmith High School. I look up to the top…

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: A cable man is looking down from the top of a telephone pole at an angle of 14°. The pole is 30 feet…

A: where , x= horizontal distance from the bottom of the pole

Q: Fred was measuring the height of a building. He stood standing at some distance from the building…

A:

Q: Senna is on the tourist bus in France with her friends. From her position, she sees the Eiffel Tower…

A: Here given that, Senna is on a tourist bus in France with her friends. From her position, she sees…

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: Find the angle of elevation of the top of a 50 m tall building measured at a point situated on the…

A:

Q: From the top of an 82 meter high vertical cliff, a boat has an angle of depression of 32 degrees.…

A: We will use trigonometric ratio to solve this.

Q: There is an escalator that is 1083.6 feet long and drops a vertical distance of 196.1 feet. What is…

A:

Q: There are two lifeguard stations along the shoreline. Station B is 50 meters east of station A. A…

A: Given data: The distance between both stations is AB =50 m. The angle made by a swimmer with station…

Q: Angelo is fencing off an area against the side of his warehouse. In the diagram below, you can see…

A:

Q: Find a if c=11 ,b=6 and angle B=39 degree

A:

Q: A landowner says that his property is triangular, with one side 475 m long and another side 350 m…

A: We need to find possible lengths of triangles.

Q: Virginia is flying a Cessna and is descending at a 9° angle towards a runway. If she can see a…

A: Step 1:Step 2:Step 3:…

Q: If a wagon wheel had 10 more spokes, the angle between spokes would decrease by 3°. How many spokes…

A: Given data is : A wagon wheel has 10 more spokes, the angle between spoke is decrease by 3∘ To find…

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: A bird is on perched on top of an 18 feet high flagpole. If the angle of depression of its direct…

A:

Q: How tall is a bridge if a 6-foot tall person standing 100 feet away can see the top of the bridge at…

A:

Q: Henrey is painting a house. He placed a 24 foot ladder 15 feet away from the base of the house so…

A:

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.