The trunk of a tree makes a 60° angle with the ground. A ladder leans against the trunk on the 60°-side. When the top of the ladder is 3 feet from the trunk's base, the bottom end is 12 feet from the base. Let t and b measure the respective distances (in feet) from the base of the trunk to the top and bottom ends of the ladder.

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: The architect stands 6 feet from a climbing frame, looking up at the top of the frame at an angle of…

A: Given  architect stands 6 feet from climbing frame

Q: helps to support a tower. The angle between the wire and the level ground is 56. One end of the wire…

A: Given query is to find the height, where wire reaches on the tower.

Q: You are standing 25 feet away from a building. Given that you are 5.7 feet tall, you find the angle…

A: You are standing 25 feet away from a building. Given that you are 5.7 feet tall, you find the angle…

Q: An awning that covers a sliding glass door that is 88 inches tall forms an angle of 50° with the…

A: Given that An awning that covers a sliding glass door that is 88 inches tall forms an angle of 50°…

Q: To estimate the height of a building, a student stood a certain distance from a building and…

A:

Q: A man is 550 feet from the base of a very tall building. The building is standing on a large flat…

A: We sketch the situation roughly. Let the height of the building is = h feet

Q: Find the height of the wall. At a construction site, a 30-foot ramp is leaning against a wall and…

A: Trigonometric ratios give the relation between the angles and the sides of the right angled…

Q: King Kong stands on the edge of the roof of a 68 foot high building. You poke your head out of a…

A: Given the height of a buliding which is 68 ft high and a king kong which stands on the edge of roof.

Q: A forest ranger sights a fire from a tower. She is looking down from a tower at a 10-degree angle.…

A: We Use tan(x) formula for solving this problem. tanx = opposite side/ Adjacent side.

Q: 17. When the angle of elevation to the Sun is 69', a tower casts a shadow on the ground that is 64.3…

A: We use Trigonometry ratios

Q: You have planted a tall tree in your yard that needs guy wires to keep it stable until its roots…

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.