A ship starts at point P, travels 170 miles to point Q, adjusts its route according to the angle shown, and continues another 199 miles to point R. To the nearest mile, what is the distance from the starting position of the ship to its current position at point R? R 199 114° P 170

Q: 3. A sailor is looking at a kite. If he is looking at the kite at an angle of elevation of 36° and…

A: From Given,

Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

A: The given data is:  AB=47 miles The angle of elevation of A and B are 87.1∘ and 83.8∘

Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations…

A:

Q: Consider the angle θ = 17π/6 a. To which quadrant does θ belong? (Write your answer as a numerical…

A: We find out all answer of given questions. Follow 2nd step .

Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

A: We use Trigonometry ratios

Q: An aerial tram starts at a point one half mile from the base of a mountain whose face has a 60°…

A:

Q: A tree on a hillside casts a shadow c = 235 ft down the hill. If the angle of inclination of the…

A: NOTE: Refresh your page if you can't see any equations. .

Q: A state trooper is hidden 35 feet from a highway. One second after a truck passes, the angle …

A: Solution: Let AB =35 feet, θ=15°

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

A:

Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

A: (A) To find the distance of the satellite from A. (B) To find the height of the satellite from the…

Q: . The Coast Guard has sent a rescue helicopter to retrieve passengers off a disabled ship. The ship…

A:

Q: communications tower is located at the top of a steep hill, as shown. The angle of inclination of…

A:

Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

A: Distance of satellite from station A and height of the satellite above the ground is

Q: A telephone pole, shown at the top of the next column, is 60 feet tall. A guy wire 78 feet long is…

A:

Q: With the sun at a certain altitude, it is noticed that a tower casts a shadow 110 feet long at the…

A:

Q: To estimate the height of a tree, one person stands due north of the tree and a secondperson stands…

A: As the distance between the tree and the two people are equal thus let the distance between the tree…

Q: From the rooftop of a building. Nestor observes a tree and a house. The angle of depression of the…

A:

Q: To find the height of a pole, a surveyor moves 140 feet away from the base of the pole and then,…

A:

Q: The top of the building makes an angle of elevation of 40 degrees from a car parked on the ground.…

A: From triangle,tan40o = 60xx = 60tan40o = 71.50 mSo, the car is parked 71.50 m away from the base of…

Q: A kite with a string 150 feet long makes an angle of 45° with the ground, Assuming the string is…

A: Topic: height and distance

Q: a.) Mr. Brown can wash his car in 15 minutes, while his son John takes twice as long to do the same…

A: Here I am attaching image so that you understand each and every step.

Q: The angle of elevation from a point on the ground to the top of a pyramid is 35(degrees)30'. The…

A: It is given that, the angle of elevation from a point on the ground to the top of a pyramid is…

Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

A:

Q: From a fixed point A, a surveyor locates a pole at 215.6 ft. due east. The pole is 175.2 ft. from…

A:

Q: A 12-foot metal guy wire is attached to a broken stop sign to secure its position until repairs can…

A: The length of the metal guy wire is 12 foot attached to a broken stop sign to secure its position.…

Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

A:

Q: A communications tower is located at the top of a steep hill, as shown. The angle of inclination of…

A:

Q: surveyor measures the height of an ad billboard on a skyscraper by walking 45 ft. away from the…

A:

Q: A helicopter is hovering 110 feet in the air over a landing pad. If the landing agent sees the…

A:

Q: Two airplanes leave an airport at the same time. An hour later, the planes are 168 km apart. If one…

A: Introduction: The law of cosines for the triangle with sides a, b, c and angles A, B, C is given by,…

Q: A support cable runs from the top of a telephone pole to a point on the ground 42.7 feet from its…

A: Consider the figure

Q: The navigator of a ship at sea spots two lighthouses some distance apart along a straight seashore.…

A:

Q: A telephone pole, shown at the top of the next column, is 60 feet tall. A guy wire 78 feet long is…

A:

Q: While sailing toward a​ statue, a sailor in a boat observed that at a certain​ point, the angle of…

A: A sailor in a boat observed that at a certain​ point, the angle of elevation of the tip of the torch…

Q: To find the distance AB across a​ river, a distance BC of 1141 m is laid off on one side of the…

A: We use sine law to find unknown distance AB

Q: An aircraft (at C) is spotted by two observers (at A and B) who are L=2000 feet apart. As the…

A: Apply tangent trigonometric function for angle B in the triangle BCD, tanβ=CDBDtan350=hBDBD=htan350…

Q: To find the distance between two small towns, an electronic distance measuring (EDM) instrument is…

A:

Q: A boat travels at 20 kph due east for one and one-half hours from point P to point A It then travels…

A: Given problem:- A boat travels at 20 kph due east for one and one-half hours from point P to point…

Q: From a watch site on a ship, the angle of depression to a raft is 10 degrees. The site is 94 feet…

A: Angle of depression is 10 degreeHeight is 94 feet.

Q: To determine how far a boat is from shore, two radar stations 500 feet apart find the angles out to…

A: Given:     AB = 500     <A = 70°     <B = 60°

Q: Two tugboats that are a = 110 ft apart pull a barge, as shown. If the length of one cable is b = 218…

A: topic - trigonometry angle formed by two cables is 28°

Q: 8. Find the angle of elevation to the top of a tree from the ground if the tree is 10 yards ta and…

A:

Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

A: For the given information, we have to find the distance of the satellite from the station And also…

Q: The navigator of a ship at sea spots two lighthouses some distance apart along a straight seashore.…

A:

Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

A:

Q: A tower 23.5 meters tall makes an angle of 110.2 ° with the inclined road on which it is located.…

A:

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

A: Redraw the figure and consider angle φ which is the angle the ship could have taken wrt west:

Q: The path of a satellite orbiting the earth causes the satellite to pass directly over two tracking…

A: Definition used –  For finding height and distance in the right-angle triangle we can use…

Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

A: Draw a schematic diagram of given figure.

Q: An aerial tram starts at a point one half mile from the base of a mountain whose face has a 60°…

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.