12. Olivia is in a lighthouse on a cliff. She observes two sailboats due east of the lighthouse. The angles of depression to the two boats are 33° and 57°. Find the distance between the two sailboats to the nearest foot. 733 57 85 ft 110 ft

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: 3. Construct an angle of 65° from two straight lines and bisect the angle.

A: Construct an angle of 65 measure at O using protractor

Q: angle of depression from Platform A to Platform B to the nearest tenth.

A: Given: Kara is zip - lining in the forest . She is standing at the top of Platform A ready to zip -…

Q: II. Solve. (Round to the nearest tenth of a degree.) 3.) The height of a flagpole is 12 % feet, and…

A:

Q: 14. A jet takes off at a 30° angle. The runway (from takeoff) is 875 feet long. Find the altitude of…

A:

Q: A biologist on a 50-meter observation tower at the edge of a beach sees a great white shark swimming…

A: To solve this problem, we can use trigonometry. Given the angle of depression, we can determine the…

Q: 4. To estimate the height of a radio tower, Jody steps 25 feet away from the center of the tower's…

A: Formula used-  tanx= perpendicular/ base  tan(90-x) = cotx

Q: A child is enjoying a Saturday afternoon flying a kite. While holding the string 4 feet above the…

A:

Q: The Statue of Liberty is 305.5 feet high. When the angle of elevation of the sun is 50, what is the…

A: Solved below

Q: 1 Diego needs to install a support beam to hold up his new birdhouse, as modeled below. The base of…

A:

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

A: Using trigonometric functions,

Q: Violet is standing next to a stream that flows under a bridge. The height of a tower holds the…

A: Given query is to find the angle between ground and top of the tower

Q: Abigail is looking upwards at her mother, Sosina, with an angle of elevation of 29 degrees. She's…

A: Let height of Sosina be x, Distance of Abigail and Sosina be y Angle of elevation be θ=29°

Q: Let p : R→ R be a non-constant polynomial, that is, for every x in R, p(x) = α0 + α1x+ ... + anx,…

A: To prove these limits, we'll consider the behavior of the polynomial function ( p(x) = a0 + a1x +…

Q: artian and hector both dive from a boat to the location shown in the diagram. Find the distance…

A: Martian and Hector both dive from a boat to the location. The distance between them is determined…

Q: Find the angle B and the corresponding side b. Round the results to 2 decimals.

A: Given : a = 10 cm, ∠A = 120° and ∠C = 40°   In ΔABC,  The sum of all angle of a triangle = 180°…

Q: Gian measures the angle of elevation to the top of a flagpole to be 64 degrees. Kendra is standing…

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.