An aircraft (at Z) is spotted by two observers (at X and Y) who are L= 1850 feet apart. As the airplane passes over the line joining them, each observer takes a sighting of the angle of elevation to the plane, as indicated in the figure. If A = 25°, and B=50°, how high is the airplane? h B L.

Q: A plane at an elevation of 5.5 km, approaches the airport at an angle of depression of 30°. А 30°…

A: Use the appropriate trigonometric ratio and find out the x.

Q: A person on the top of a tall building looks through his binoculars at his friend that is 300 ft…

A: option (d) is correct  see below the calculation and explanation

Q: A child is standing across the street from his apartment. His mother is on their balcony. The angle…

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Q: A plane at an elevation of 4.5 km, approaches the airport at an angle of depression of 18°. 18° 4.5…

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Q: In the diagram C and D represent two boats in the same horizontal plane as B, the base of a…

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Q: An airplane is flying at an elevation of 5150 ft, directly above a straight highway. Two motorists…

A: To determine the distance between the two motorists.

Q: From the top of a 250 ft lighthouse, the angle of depression to a ship in the ocean is 18o.  How far…

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Q: Find the angle 0 between v=-8i+6j and w=4i+6j. If necessary, round to the nearest tenth of a degree.…

A: We can make it easier for you

Q: An aircraft (at C) is spotted by two observers (at A and B) .o are L=1700 feet apart. As the…

A: Given,           An aircraft at C is spotted by two observersat A and B who are L=1700 feet…

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 passenger in an airplane at an altitude of 10 kilometers sees two towns directly to the east of…

A:

Q: Two tugboats that are a = 110 ft apart pull a barge, as shown. If the length of one cable is b = 202…

A: Given that We have to evaluate the angle formed by two cables

Q: Two boats leave a harbour at the same time and head out at an angle of 35 degrees to each other.…

A: Given , in ∆ADBLaw of cosines :-d2=a2+b2-2ab cos D

Q: A 14-foot ladder is placed against a wall. The ladder is on level ground at an angle of 66.5 ° 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: Find the angle between v = i + 2j and w = 4i - 3j. Round to the nearest tenth of a degree.

A: To find the angle between  v=i^+2j^w=4i^-3j^

Q: An airplane is flying at an elevation of 5150 ft, directly above a straight highway. Two motorists…

A:

Q: Given v-5i+2j and w=2i-4j, find the angle between v and w to the nearest degree

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Q: After a hurricane, a homeowner examines trees on his property for damage. He thinks a 21-ft palm…

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Q: A Navy battleship is targeting an incoming fighter jet with an elevation of 10,000 feet. The…

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Q: Find the angle between v = 6i and w = 5i + 4j.Round to the nearest tenth of a degree.

A: we have to find the angle between v=6i and w=5i+4j. we have to round the answer to the nearest tenth…

Q: An airplane is flying at an elevation of 5150 ft, directly above a straight highway. Two motorists…

A:

Q: An aircraft (at Z) is spotted by two observers (at X and Y) who are L = 1600 feet apart. As the…

A: Given,           An aircraft at Z is spotted by two observers at X and Y who are L=1600 feet…

Q: A small aircraft sets a course with a certain bearing and at a speed of 200 mph. A horizontal wind…

A: The angle θ is 3°

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: After a hurricane, a homeowner examines trees on his property for damage. He thinks a 21-ft palm…

A:

Q: Two tugboats that are a- 110 t apart pull a barge, as shown. If the length of one cable is b 202 t…

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Q: the angle of elevation from a point on the ground to the top of a mountain top is 52.5o. the angle…

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Q: Find the angle, in degrees between 0 and 360° which intersects the unit circle at the point (--) V3…

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Q: 9 10 11 12 13 15) A ladder that is 30 feet long needs to reach 27 feet up a building. What should…

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A: We use cosine law and angle sum property to find out unknown angles of given triangle

Q: 4. Two boats are traveling toward a lighthouse that is 200 feet (ft) above sea level at its top.…

A: Given:

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

A: Given that the total length XY = L = 2000 feet and the angle A = 40 degree and angle B = 20 degree.…

Q: Let v = -5i + 2j and w = 2i - 4j. Find the angle between v and w, to the nearest degree.

A: Given, v=-5i+2jw=2i-4j

Q: 3. Nina stands 15 meters from a building and formed a 75° angle of elevation to its top. How high is…

A:

Q: A boat is approaching a cliff known to be 40 m tall. If the angle of elevation from the boat is 30°,…

A: According to given problem

Q: If tan“ = VĀ – B, then, by using the half-angle formula, find the %3D values of A and B. А. А %3D1;B…

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Q: A woman looks down from a hot air balloon. She sees a sheep below and measures the angle of…

A: solution:-Angle of depression=Angle of elevation=35°the sheep is 125 ft from where the women is…

Q: Find the angle between v = 6i and w = 5i + 4j. Round to the nearest tenth of a degree.

A: u.v=uvcosθ

Q: Find the angle between v = i + 2j and w = 4i - 3j.Round to the nearest tenth of a degree.

A: Consider the given: v→=i+2jw→=4i−3jv→⋅w→=i+2j⋅4i−3j=14+−32=4−6=−2

Q: An airplane has leveled off (is flying horizontally) at an altitude of 12,000 feet. Its pilot can…

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

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Q: Find the angle between v = -2i + 5j and w = 3i + 6j. Round to the nearest tenth of a degree.

A: We are given two vectors v=-2i^+5j^ and w=3i^+6j^ We can find the dot product of these two vectors…

Q: The incline from the water in the alligator pit to their pen is as pictured below. If x = 6 and y =…

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Q: Find the angle between 0° and 360° that is coterminal to the given angle. a. 429° is coterminal to…

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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.