The angle of depression from a hawk to a rabbit is 23 degrees, and the ground distance from the rabbit to the point directly below the hawk is 325 feet. What is the straight-line distance from the hawk to the rabbit? (Assume the ground is flat)

Q: an airplane is flying from New Orleans to Atlanta. As the airplane is about to finish its course,…

A:

Q: 3) An airplane is sighted at the same time by two ground observers who are 5 miles apart 3 and both…

A: Consider the larger base is x miles to the west of a point down the plane and the observer is 5…

Q: The final approach of an airplane when landing requires an angle of descent of about 5∘. If the…

A:

Q: A blimp, suspended in the air at a height of 400 feet, lies directly over a line from a sports…

A:

Q: A man in a balloon observes two points, A and B, on the horizontal plane. The angle of depression is…

A: The sketch of the given problem is shown below, From triangle DAC,

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

A:

Q: To estimate the height of a tree, one person positions himself due south of a tree and the other…

A: C = position of tree A = position of one man in East B = position of one man in North AB = 82 feet…

Q: From a helicopter flying at 30,000 feet, the angles of depression of two cities are 28 and 55. How…

A:

Q: From a plane 3,000 feet in the air, the angle of depression to the beginning of the runway is 3°…

A:

Q: The angle at the vertex of a cone is measured using a 30mm diameter coin. If the coin lies 3.72mm…

A:

Q: A hot-air balloon is floating above a straight road. To estimate their height above the ground, the…

A: We sketch the situation roughly C and D are two mile posts. So the distance between them is = 1…

Q: A cable man is looking down from the top of a telephone pole at an angle of 14°. The pole is 30 feet…

A: where , x= horizontal distance from the bottom of the pole

Q: The angle of elevation from a viewer to the top of a flagpole is 50°. If the viewer is 40 feet away…

A: Solution: In ∆ABCtan 50°  =ABBC⇒ tan 50×40 = h                   h = 47.67                   h =…

Q: The Statue of Liberty is approximately 305 feet tall. If the angle of elevation of a ship to the top…

A: We have to find

Q: The CN Tower in Toronto, Canada, is the tallest free-standing structure in the world. A woman on the…

A: Here,  AB is the tower of height h = 1100 ft and the landmarks are placed at C and D with their…

Q: A tunnel is to be built through a hill to connect the towns of Mathville and : Trigville with a…

A:

Q: The angle of elevation of point C from point B is 29 degrees; the angle of elevation from C from…

A: Use trigonometric ratio to find the required height.

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

A:

Q: A plane rises from take-off and flies at an angle of 10° with the horizontal runway. When it has…

A:

Q: A hot-air balloon is floating above a straight road. To calculate their height above the ground, the…

A:

Q: The angle of depression from the top of a building to a point on the ground is 32°30'. How far is…

A:

Q: Two points on the same side of a tree are 19.8 meters apart. The angles of elevation of the top of…

A: “Since you have asked multiple question, we will solve the one question for you. If you want any…

Q: Kara is zip-lining in the rainforest. She is standing at the top of Platform A ready to zip-line to…

A:

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

A: Two tracking stations A and B, which are 85 mi apart. When the satellite is on one side of the two…

Q: The angle of elevation from a point on the ground to the top of a tower is 35° 16'. The angle of…

A: From the given problem, the representative diagram as is shown below. Let the height of the tower…

Q: At as distance "X" ft. away from the base of a hill, Mr. Somebody noted that the angle of elevation…

A: We will solve the following

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 person standing on top of a 15-foot high sand pile wishes to estimate the width of the pile. He…

A:

Q: The CN Tower in Toronto, Canada, is the tallest free-standing structure in North America. A woman on…

A:

Q: A plane rises from take-off and flies at an angle of 10° with the horizontal runway. When it has…

A: given,

Q: 7. While parasailing, Ryan spots a dolphin on the water below. If Ryan is 228 feet above the water…

A:

Q: A bird is flying in the sky when it spots a worm on the ground. If the angle of depression from the…

A:

Q: Two guy wires from the top of a 40-foot tent pole are anchored to the ground below by two stakes. If…

A: We sketch the situation roughly  AB is the pole. C and D are two stakes.  We have to find CD=?

Q: Two radar stations 8 miles apart are tracking an airplane. The straight-line distance between…

A:

Q: The angles of elevation to a balloon from two points A and B on level ground are 26° and 46°,…

A: The solution is given below in the next step:

Q: An airplane pilot finds the measure of the angle of depression of the edge of the runway to be 47°.…

A:

Q: 3.] From the top of a cliff, the angle of depression to a vessel 250 feet away from the base of a…

A:

Q: The angle of elevation of point C from point B is 29 degrees; the angle of elevation from C from…

A:

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

A: Solve for both parts

Q: On a bike ride you come to a hill that has a grade of 5%. To the nearest degree, what is the angle…

A: Slope of the hill = tanƟ = 5% = 5 / 100 = 0.05 where Ɵ is  the angle this hill makes with a…

Q: From the top of a light-house at a height 20 meters above sea level, the angle of depression of a…

A: Use trigonometric ratio, tan(theta) = Perpendicular/Base Note that, side opposite to the angle is…

Q: A rocket is shot into the air at an angle of 60°. If it is traveling at 200 ft per second, how high…

A: Consider the given diagram, let the height of the plane in the air will be x. the distance travel…

Q: The angle of elevation to the top of a building is 38 . From a point 440 ft. farther away the angle…

A:

Q: The angle of elevation of a kite is 65° with 490 feet of string out. Assuming the string is tight…

A: Let the height of the kite be 'h metres'.As the angle formed by kite with ground is 65°.Also, we…

Q: From point P on the ground, the angle of elevation of an airplane is 23°. The altitude of the plane…

A: Q 6   Given that:   A point “P” on the ground, the angle of elevation of an airplane is 23 degree…

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

A: Given that: Distance between the two stations =56 mi

Q: Softball Diamond In softball, the distance from home plate to first base is 60 feet, as is the…

A: Given: Softball Diamond In softball, the distance from home plate to first base is 60 feet, as is…

Q: The Statue of Liberty is approximately 305 feet tall. If the angle of elevation of a ship to the top…

A: A detailed solution is given below.

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

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.