From the top of a cliff 52 m. high, the angles of depression of the ship A and ship B due east are 36° and 24° respectively. Find the distance between the ships. Round to the nearest tenths

Q: A ship's sonar finds that the angle of depression to a wreck on the bottom of the ocean is 12.5º. If…

A: Here, A is the position of ship's sonar and C is the position of wreck. We need to calculate the…

Q: the angle of elevation of the sun is 73° 30', how tall is a post that casts a shadow 1.2 feet long?…

A: The given condition is shown as below: Here, AB is the post and BC is the shadow formed by it. The…

Q: A kite is flying 95 ft off the ground, and its string is pulled taut. The angle of elevation of the…

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Q: A boat is 1000 meters from the base of a cliff. If the angle of depression from the top of the cliff…

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Q: To the nearest degree, what is the angle of depression from the hawk to the rabbit? 34° O 40° O 50°…

A: Let the angle of depression be X

Q: A surveyor starts at the edge of a lake, at point A, and measures a 90° angle between B and C, as…

A: Here we will find the length of the lake between A and C,

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: From the top of a 220-ft lighthouse, the angle of depression to a ship in the ocean is 24°. How far…

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Q: A is located 250 ft from a building. From a window in the building, a person determines that the…

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Q: If a loading ramp is placed next to a truck, at a height of 4 feet, and the ramp is 23 feet long,…

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Q: 3. The angle of elevation of a building 80 m high from a man on the ground is 50°42'. How far is the…

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Q: A kite is flying at an angle of elevation of 67° with the ground. If 100 ft of string have been paid…

A: Since, it is given that a kite is flying at an angle of elevation of 67° withthe ground.∠B=67°Since,…

Q: = 12  ft from the building, and the angle formed by the ladder and the ground is 80°. How high up…

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Q: a person standing 395 get from the base of a church observed the angle of elevation to the church…

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Q: To find the distance from the house at A to the house at B, a surveyor measures the angle ACB, which…

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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: A boat travels on a course bearing South 42 degrees East for 58 miles. How many miles south is the…

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Q: From a point on the ground, the angle of elevation to the top of a vertical wall is 40°. If the wall…

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Q: A person is standing 32 feet away from the bottom of a tree. If the angle of elevation to the top of…

A: A triangle is a polygon having three sides and three vertices. Sum of interior angles of triangle is…

Q: A radio transmission tower is 130 feet tall. How long should a guy wire be if it is to be attached…

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Q: From the top of a 160-ft lighthouse, the angle of depression to a ship in the ocean is 23°. How far…

A: Given query is to find the distance of the ship from the light house.

Q: If a loading ramp is placed next to a truck, at a height of 8 feet, and the ramp is 22 feet long,…

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Q: The angle of depression from the top of a lighthouse to a ship is 40 degrees. If the lighthouse is…

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Q: From a boat on the lake, the angle of elevation to the top of a cliff is 29 degrees 4’. If the base…

A: Given that: Angle of elevation= θ =29°4' Base of the cliff = B = 380 feet To find H, the height of…

Q: A central angle on a circle measures 135◦ and has a diameter of 7cm. Find the following values: (a)…

A: Length of arc is d2θ where d is diameter and θ is angle in radians:  d2θ=72135180×π       =2.625π cm

Q: 7. Two guy wires 27 m and 15 m in length are to be fastened to the top of a TV tower from two points…

A: cosine law of triangle                                         c2=a2+b2-2abcosθwhere θ is angle…

Q: If a loading ramp is placed next to a truck, at a height of 4 feet, and the ramp is 19 feet long,…

A: In a right angled triangle:- Sin X = Perpendicular/Hypotenuse

Q: A surveyor determines that the angle of elevation of the top of a building from a point on the…

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Q: A ladder 5 m long leans against a building. If the angle between the ground and the ladder is 57…

A: Given: according to given data figure will be Where; AC is length of ladder, BC is distance between…

Q: A radio transmission tower is 319 feet tall. A guy wire is to be attached 6 feet from the top and is…

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Q: In a circle of radius 3 cm, find the length of the arc that subtends a central angle of 120∘. Enter…

A: Given,          In a circle of radius 3 cm, that subtends a central angle of 120°.We know that,…

Q: A car wheel has a 13 inch radius. Through what angle (to the nearest 10th of a degree) does the…

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Q: A surveyor starts at the edge of a lake, at point 4, and measures a 90° angle between B and C, as…

A: The solution as follows :-

Q: To find the distance from the house at A to the house at B, a surveyor measures the angle ACB, which…

A: Given Data: The measure of angle C is: m∠C=10° The distance between A and C is: AC=50 ft The…

Q: person standing 397 feet from the base of a church observed the angle of elevation to the church's…

A: A person standing 397 feet from the base of a church observed the angle of elevation to the church's…

Q: 2) As shown in the diagram below, a ship is heading directly toward a lighthouse whose beacon is 125…

A: This question is related to Trigonometry, we will we will solve it using given information.

Q: Suppose a building is erected such that the base of the building is 109 meters from the base of a…

A: Consider the provided question, According to given question we drawn a diagram,

Q: 1.] The angle of depression from the top of a 30-meter cliff to a boat is 25°32'. a.] How far is the…

A: First draw the digram then then convert the angle in degree then use trigonometric relation and…

Q: An acute triangle has an area of 10 square inches. Two sides have lengths 8 inches and 5 inches.…

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Q: To find the distance from the house at A to the house at B, a surveyor measures the angle ACB, which…

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

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Q: A 7-ft ladder leans against the side of a house. How far is the bottom of the ladder from the side…

A: Angle of elevation of ladder =64∘ Here we will apply cosine formula which is given as-…

Q: A 15-ft ladder leans against a building so that the angle between the ground and the ladder is 74…

A: Let AB represent the building and AC represent the ladder. So the triangle formed by the ladder,…

Q: From the top of a 220-ft lighthouse, the angle of depression to a ship in the ocean is 28°. How far…

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Q: If a loading ramp is placed next to a truck, at a height of 8 feet, and the ramp is 22 feet long,…

A: If a loading ramp is place next to truck, at a height of 8 feet and the ramp is 22 feet long To…

Q: The angle of depression from a bird sitting on top of a telephone pole to the base of a tree is 63°.…

A: Let α1 be angle of depression. The height of pole is 18 feet. Let the distance between pole and tree…

Q: A 75 feet long conveyor is used at Home Depot to unload equipment from the truck to the platform.…

A: Given : A75 feet long conveyor is used at home depot to unload equipment from the truck to the…

Q: From his eye, which stands 1.5 meters above the ground, Zachary measures the angle of elevation to…

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Q: 6. From the top of Mt. Banahaw 135m high, it is observed that the angle of depression of a ship is…

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Q: Find the value of the marked angle to the nearest degree. 27 11 1?

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