10 From a resting place, a bushwalker hikes due north for 1.5 km to a waterhole and then on a bearing of 315° for 2 km to base camp. a Find how far west the base camp is from the waterhole, to the nearest metre. b Find how far north the base camp is from the waterhole, to the nearest metre. c Find how far north the base camp is from the initial resting place, to the nearest metre.

Q: 1. A surveyor measures a triangular plot of land. 72.8 yd. 20 80.5 yd. a) Determine the length of…

A: The given figure is: a) Determine the length of side l. b) Determine the measure of ∠N using the…

Q: A ship leaves port at noon and has a bearing of N 53° E. The ship sails at 15 knots. At 6 pm the…

A: Given:            Ship leave port at noon and has a bearing of N53∘E.The ship sails 15 knots.

Q: 2. A ladder 40 feet long is placed so as to reach a wall 30 feet high. 40 feet 30 feet Ladder Wall a…

A:

Q: Find an angle A that is coterminal with an angle, in radians, measuring −29π/6, where 0≤A<2π. Give…

A: Angle is -29π6.

Q: A cyclist is riding a bicycle whose wheels have a diameter of 22 inches. Suppose he is traveling at…

A: The given data is: Diameter=22 inchRadius r=diameter2=22 inch2=11 inch=1112feet=0.9166 feet   Linear…

Q: 3. James determines that the angle of elevation to the top of Bohol Tropics Resort Building measures…

A: Given

Q: A sailboat leaves port on a bearing of ?72°?. After sailing for two hours at 12 knots, the boat…

A:

Q: Annette is standing 50 m away from a Ferris wheel at a local fair. She always brings her clinometer…

A:

Q: A ceiling fan has 14-inch blades (so the radius of the circular fan is 14 inches). Suppose the…

A: We have to find - the angular speed of the fan in radians per minute, the number of revolutions a…

Q: 1. Determine the exact radian measure for each angle. (a) 150° (b) 35° (c) 191° Determine the…

A: According to company rule we can answer only first three subparts and rest can be reposted

Q: A ship leaves Port A and travels 75 miles due west to point C. It then adjusts its course 43°…

A:

Q: Find the distance that the earth travels in one day in its path around the sun. Assume that a year…

A: (1) The path of earth around the sun is a circle with radius 93 million miles.  So the distance…

Q: A sailboat leaves port on a bearing of South72°West. After sailing for two hours at 12 knots, the…

A: From the given information, it is observed that the boat was sailing for two hours at 12 knots, the…

Q: An airplane leaves City A and flies 142 km due north to City B. It then turns through an angle of…

A:

Q: A ship leaves Port A and travels 67 miles due west to point C. It then adjusts its course 41°…

A:

Q: 1. What trigonometric ratio can we use to solve for the height of a building given the the distance…

A:

Q: A ship leaves Port A and travels 59 miles due west to point C. It then adjusts its course 39°…

A:

Q: A pyramid has a square base side length 10.5m. The slant height of the pyramid is 19.5m. Determine…

A: Given, slant height(s)=19.5(red colored line) since, base length is 10.5, so a=10.52=5.25 Using…

Q: (a) Find the angular speed of the wheels in rad/min. (b) How many revolutions per minute do the…

A:

Q: 16. With respect to the given angle, what is the ratio of the hypotenuse to the opposite side? A.…

A:

Q: A ship leaves Port A and travels 73 miles due west to point C. It then adjusts its course 40°…

A:

Q: A 50 ft electrical pole (vertical) casts a 62.3 ft length shadow when the angle of eleva of the sun…

A: Given:      Vertical pole = 50 ft      Shadow = 62.3 ft        Angle = 41.6°

Q: 9. Car A has a reported fuel rating of 24 miles per gallon. How many gallons of fuel does it need…

A: Use the concept of basic trigonometric ratios in second part and in first part simply divide.

Q: e third quadrant, findtanB + secB. C. 5 D.

A:

Q: An airplane leaves City A and flies 132 km due north to City B. It then turns through an angle of…

A: Given problem:- An airplane leaves City A and flies 132 km due north to City B. It then turns…

Q: 13. The posts of a hockey net are 2.0 m apart. A player attempts to score by shooting the puck along…

A: Solution is done in step 2

Q: A bird has built a nest on top of a pillar. A cat is sitting 4m away from the pillar. For the cat…

A: tan theta = perpendicular/base

Q: A truck with 22-in.-diameter wheels is traveling at 50 mph. Round answers to 2 decimal places as…

A: Use the formula for the angular speed and Substitute the given data after changing the unit.

Q: 1. A flywheel is rotating at 7 rad/sec. It has a 15-cm diameter. What is the speed of a point on its…

A: In both questions we have to find the linear velocity.  Here the angular velocities are given

Q: 1.2 cm 9. Use your calculator to find the angle measures sin (0.7), cos (0.3), and tan (38.4)to the…

A:

Q: A 140-foot tall antenna has 4 guy-wires connected to the top of the antenna, and each guy-wire is…

A:

Q: Which of the following is the correct solution to the given problem below? A tree is struck by…

A:

Q: A ship leaves Port A and travels 75 miles due west to point C. It then adjusts its course 32°…

A:

Q: 19. Use a graphing or scientific calculator and the law of sines to find the missing angle to the…

A:

Q: A ship leaves Port A and travels 59 miles due west to point C. It then adjusts its course 37°…

A:

Q: A 320-ft tree casts a 190-foot shadow on horizontal ground. A girl lying on the grass at the tip of…

A: Given: The height of tree is 320 ft. The length of shadow on the horizontal ground is 190 ft.

Q: 1. A radio transmission tower is 375.4 feet high. If a guy wire is to be attached to the tower 15.2…

A: Use the given information and make a figure Tower is 375.4 feet high and wire is attached 15.2 feet…

Q: 2. A wheel has a diameter of 90 cm and completes 4 revolutions in 1 minute at top speed. a)…

A:

Q: Use the law of tangents to find the measures of the unknown angles of AABC. Then use the law of…

A: Multiple Questions- "As per our company guidelines we are suppose to answer only one question.Kindly…

Q: A cyclist is riding a bicycle whose wheels have a radius of 10 inches. Suppose the wheels turn at a…

A: a)

Q: b) Magnitude of the 7. The bearing of a light house from a ship was found to be N37° E . After the…

A:

Q: b Which equation correctly uses the value of b to solve Triangle ABC is a right triangle and…

A:

Q: 25. How far from the building must a ladder begin in order to rise 20 feet with a 53 angle of…

A: Topic = Trigonometry As per guidelines , At a time one question can be answered out of different…

Q: An airplane leaves City A and flies 131 km due north to City B. It then turns through an angle of…

A:

Q: 5. Find the angular speed in radians/second associated with rotating a central angle of in 10…

A: use angular speed formula for finding one .

Q: 36. A gear with a radius of 4 in. turns through an angle of radians. What distance does a point on…

A: Given the radius of the gear , r = 4 inches It is turned through an angle 7π/8  Let the distance…

Q: cos W 8/113 .... 12. Mariela is standing in a building and looking out of a window at a tree. The…

A:

Q: 4. Jordan is stuck at the top of a Ferris wheel. Her mother is standing 38 feet from the base of the…

A:

Q: (保) The terminal side of an angle 0 in standard position intersects the unit circle at What is cos…

A: The terminal side of an angle theta in standard position intersect the unit circle at (72/97,65/97)…

Q: An antenna has 4 guy-wires connected to the top of the antenna, and each guy-wire is anchored to the…

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.