Emi is standing on a 50 m high bridge and sees two boats below. From her position, boat A has a bearing of 230°, and boat B has bearing of 120°. Emi estimates the angles of depression to be 38° and 35° for boat A and B, respectively. How far apart are the boats to the nearest tenth of a metre (one decimal place) ? S0 m 120° 230

Q: Your angle of peripheral vision determines how far you can ee from left to right when you Dok…

A: Given that the final distance between Ann and Julian is And

Q: An airplane is heading N35°E at a speed of 460 mph.  A 75 mph wind blows from the southwest at an…

A:

Q: The radius of a wheel rolling on the ground is 80 centimeters. If the wheel rotates through an angle…

A: Given that the wheel is rotated by an angle of 60°We know that i°=π180 and∴60°=60xπ180rad=π3rad

Q: 58. A runner leaves the starting point of a race and heads N10°W at 6.3 mph. After running for 20…

A: The speed of the runner at N10°W is 6.3 mph.  The runner speed for 3 more miles is 6.8 mph. The…

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: Lisa stands at the window of a building looking for her lost cat. She spots her cat 58.5 m away from…

A: Lisa spots the cat from the window of building which is at a height of 12.6 m.  The cat is at a…

Q: Jayden is on his boat riding through the Cooper River. He spots the Cooper River Bridge at an angle…

A:

Q: Two cars leave the same town at the same time. One heads east at 30mi/h, and the other car in a…

A: We use cosine law to find out distance between both cars after 1 hour

Q: Captain Lee leaves port steering the luxury yacht Valor at a bearing of 130° for 8 miles. The ship…

A: Bearing is angle from North direction in clockwise direction

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: David is looking out of his window at the office building 40 feet away across the street from him.…

A: Given that from a window 40 ft above the street, the angle of elevation to the top of the building…

Q: If the shortest leg of a 30° – 60° – 90° triangle has length 15.34 feet, what are the lengths of the…

A: The following information is given in the question  Angles say A=30°, B=60°,C=90°.The shortest…

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: Two ships leave port at the same time. One ship travels at a speed of 18 mi/hr in the direction N…

A: First ship goes 18 mph for one hour. Hence, the first ship travels 18×1=18 miles. Similarly, second…

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.