2) Lucy is lying on the beach, flying a kite. She holds the end of the kite string at ground level and estimates the angle of elevations of the kite to be 48". If the string is 400 ft long, how high is the kite above the ground? Round your answer to the nearest tenth of a foot.

Q: This problem requires work. From the top of a vertical cliff 40 m high, the angle of depression of…

A:

Q: 4. Suppose that the angle of elevation of the sun is 23.4. Find the length of the shadow cast by…

A:

Q: A triangular lot has sides 1,460 ft, 2,740 ft, and 1,720 ft long. Find its largest angle in degrees.…

A: We use Cosines and sines formula.

Q: A tunnel is planned through a mountain to connect points A and B on two existing roads. If the the…

A:

Q: A person observes that from point A, the angle of elevation to the top of a cliff at D is 30°.…

A: GIVEN  HEIGHT OF CLIFF , DC=80m

Q: A pilot is flying over a flat (horizontal) land. She determines the angle of depression to a…

A: The given situation is as shown. Now, use the fact that sum of the angle s of the triangle is 180°.…

Q: At 11:30 A.M. the angle of elevation of the sun for Washington, D.C., is 55.7°. If the height of the…

A:

Q: A student stands at point A and measures the angle of elevation to the top of a building at 30°. She…

A:

Q: A 22-ft ladder leans against a building so that the angle between the ground and the ladder is 67°.…

A: Here AC is ladder of length 22 ftAB is buildingBC is ground and the angle between the ladder and…

Q: A 18-ft ladder leans against a building so that the angle between the ground and the ladder is 74°.…

A:

Q: This problem refers to triangle ABC. If a = 14 yd, b = 15 yd, and c = 16 yd, find the largest…

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: Ashley decides to build an accessibility ramp to help students reach the top of a set of stairs. If…

A:

Q: This problem refers to triangle ABC. If a = 15 yd, b = 16 yd, and c = 17 yd, find the largest angle.…

A: Using cosine law c2=a2+b2-2ab cos C

Q: If a loading ramp is placed next to a truck, at a height of 3 feet, and the ramp is 13 feet long,…

A:

Q: To the nearest tenth, what angle of descent (angle of depression) must a plane 264,000 horizontal…

A:

Q: From a 200 foot tower on the shore a man sees a ship at sea. If the angle of depression from the man…

A:

Q: 5. A parked car is spotted from a hotel window which is 100 m above the car. If the angle of…

A:

Q: Ron wants to build a ramp with a length of 14 ft and an angle of elevation of 26°. The height of the…

A: Fond the height

Q: In right triangle ABC, hypotenuse AB has a length of 26 cm, and side BC has a length of 17.6 cm.…

A:

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:

Q: A 18-ft ladder leans against a building so that the angle between the ground and the ladder is 67°.…

A: Ladder = 18 ftangle , θ= 67°

Q: 1. How long is the ladder which makes an angle of 300 with the side of the house and whose foot is…

A:

Q: Two wires stretch from the top T of a vertical pole to points B and C on the ground, where C is 10 m…

A: Two wires stretch from the top T of a vertical pole to points B and C on the ground, where C is 10…

Q: 3. The angle of elevation of the sun is 27°. IF a tree Is 12 yd. tall, how long will its shadow be?

A:

Q: a1. The angle of depression from a bird sitting on top of a telephone pole to the base of a tree 12…

A: we are given with word problem.

Q: A 12-ft-long ladder is leaning against a wall and makes an 80° angle with the ground. How high up…

A: first of all we draw the diagram for given situation,

Q: The angle of elevation from the top of a small building to the top of a nearby taller building is…

A: Given angle of elevation 46° Angle of depression 14°

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: A tunnel is planned through a mountain to connect points A and B on two existing roads. If the the…

A:

Q: A 19-ft ladder leans against a building so that the angle between the ground and the ladder is 65°.…

A: Given: A 19-ft ladder leans against a building so that the angle between the ground and the ladder…

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

A: According to the guidelines issued by the company We are supposed to answer only one question.…

Q: Determine the length of side length a to the nearest tenth of a kilometer, given that angle B is 62°…

A:

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: A radio transmission tower is 160 feet tall. How long should a guy wire be if it is to be attached…

A: We can make it easier for you.

Q: A 45.0 – m guy wire is attached to the top of a 33.6 – m antenna and to a point on the ground. How…

A: The solution is given below

Q: Assuming that a 400-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: Given height of redwood tree=400 foot Angle of elevation to the top of the tree=53°

Q: 24. How far up a vertical wall can a 4-meter ladder reach if the angle it makes with the ground is…

A:

Q: The roof is 32.0 ft wide. If the rafters are 18.0 ft long, at what angle will the rafters be laid at…

A:

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: A wall that is 1.4 meters long started to lean and now makes an angle of 80 degrees with the ground.…

A: Question is solved.

Q: В а A C b

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Q: 19. How far from the wall of a building ia the base of a 35 ft. ladder which makes an angle of 70°…

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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…

A:

Q: A 19-ft ladder leans against a building so that the angle between the ground and the ladder is 63°.…

A:

Q: The top bunk is 4 ft 4 in above the floor, and the ladder is attached to the top bunk at a 30 degree…

A:

Q: From one bank of the Abra river the angle of elevation of the top of a cliff on the opposite bank is…

A:

Q: A 157-foot antenna is on top of a tall building. From a point on the ground, the angle of elevation…

A: Given: A 157-foot antenna is on top of a tall building the top of the antenna is 30.5° angle of…

Q: The cables attached to a TV relay tower are 100 m long. They meet level ground at an angle of 60.0°,…

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.