12. To determine the height of a pole across a road, Justin takes two measurements. He stands at point A directly across from the base of the pole and determines that the angle of elevation to the top of the pole is 15.3°. He then walks 30 m parallel to the freeway to point C, where he sees that the base of the pole and point A are 57.5° apart. From point A, the base of the pole and point Care 90.0° apart. Calculate the height of the pole to the nearest metre. 1 15.3 57.5 A 30 m

Q: 4. Tom measures the angle of elevation of the peak of a mountain at 35⁰, Susie, who is 1200ft closer…

A:

Q: To calculate the height of a tree, Marie measures the angle of elevation from a point A to be 46°.…

A: The sides and angles of a right triangle are related by the trigonometric functions. Trigonometric…

Q: - Show your work for modeling and solving: A surveyor needs to determine the distance between him…

A:

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: Wilfrid is flying a kite in a flat field. He lets out 15 metres of string. The angle of elevation of…

A: The length of the string of the kite = 15 meters The angle of elevation of the kite from Wilfrid's…

Q: Fred and Agnes are 520 m apart. As Brendan overhead in an airplane, they measure the angle of…

A: Here we use sine law to solve the problem.

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

A:

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: From Point S, Samantha uses a clinometer to determine the angle of elevation to the top of the cliff…

A:

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

A:

Q: Matthew parks his car between Karen’s and Patrick’s apartment buildings. The car is 46 m in front of…

A: The situation described is drwn in below image÷

Q: A surveyor set up his instrument at A and measured the angle of elevation of the top of a tower and…

A:

Q: 1. A boy flying a kite lets out 300 feet of string which makes an angle of 38° with the ground.…

A:

Q: You are standing at the top of a lighthouse, looking down towards a boat on the water. From your…

A:

Q: The distance between an aircraft carrier and a Navy destroyer is 7620 feet. The angle of elevation…

A: Given:- The distance between an aircraft carrier and a Navy destroyer is 7620 feet. The angle of…

Q: Q7. A cellphone transmitter is placed at the top of a vertical tower. Cables are used to help…

A:

Q: Sabri stands 12 feet away from a tree and measures the angle of elevation to the top of the tree to…

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.