After a hurricane, a homeowner examines trees on his property for damage. He thinks a 21-ft palm tree is leaning slightly from its original vertical position. From a point 23 ft away, he measures the angle of elevation to the top of the palm tree as 51°. Is the palm tree leaning? If so, by how many degrees from the vertical? Round to the nearest tenth of a degree. OThe palm tree is not leaning. O The palm tree is leaning. The palm tree is leaning by degrees from the vertical.

Q: A ship traveling a straight course sights a lighthouse at an angle of A=16.5 deg as shown in Fig.…

A:

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

A:

Q: The angle of elevation to the top of a Building in New York is found to be 9 degrees from the ground…

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Q: A backyard slide is designed for a child's playground. If the top of the 14-ft slide makes an angle…

A: We know that trigonometric ratios :  sin ( theta ) = perpendicular / hypotenuse

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

A:

Q: A backyard slide is designed for a child's playground. If the top of the 15-ft slide makes an angle…

A:

Q: Find the measure of arc DC if angle DSC =73 and the measure of arc AB = 105. Round to the nearest…

A: given: In the circle,  ∠DSC=73, m(arcAB)=105   To determine: The measure of the arc DC

Q: an angle α that is coterminal with an angle, in radians, measuring 9π/2, where 0≤α<2π. Give your…

A: To find the coterminal angle of 9π/2.

Q: At the Denver International Airport, planes must clear a mountain that is 1000 feet tall that is a…

A: We have to find angle of elevation must the plane take off in order to safely clear the mountain

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A:

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A:

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A: Given:        Height = 72.6 ft        width = 44.8 ft

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: If you roll a 1-m-diameter wheel forward 30 cm over level ground, through what angle will the wheel…

A: Given ,  L = 30 cm = 0.3 m  r = d/2 = 1/2 =0.5 m  L = rθ

Q: Find the area of a circle with diameter 36 feet and an angle of 4Pi/3 radians. Round your answer to…

A: Answer:678.584ft2

Q: The base of the ladder in the figure is a = 5 ft from the building, and the angle formed by the…

A: Given,

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: Find the acute angle measure, to the nearest degree. V 14

A: We use Trigonometry ratios

Q: Use the sine law to determine the length of side a, to the nearest tenth of a cm, given that b =…

A: follow next step

Q: Find the value of the angle 0 in degrees rounded to the nearest tenth of a degree. 12

A:

Q: A 31-foot ladder is leaning against the side of a building. If the ladder makes an angle of 28° with…

A: Cos 28 o=BC/AC

Q: Find the angle rounded to the nearest tenth of a degree given the trigonometric ratio  sin A =…

A: On solving ,we get

Q: A radio transmission tower is 567 feet tall. A guy wire is to be attached 6 feet from the top and is…

A: Given: The height of the radio transmission tower is 567 feet. And attachment of guy wire is to be 6…

Q: Determine the value of angle A that corresponds to sec LA=1.3051. Round the answer to the nearest…

A: Given that Sec(A)=1.3051 We have to find the value of angle A.

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A:

Q: In a circle of radius 2, the length of the arc that subtends a central angle of 222 degrees is_____?…

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Q: A 200-foot-high construction is anchored to the ground by a wire. The wire is fastened to the ground…

A:

Q: Find an angle α that is coterminal with an angle, in radians, measuring −13π2, where 0≤α<2π. Give…

A: Given the angle

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A:

Q: As shown in the diagram below, a ladder 5 feet long leans against a wall and makes an angle of 65°…

A: SOLUTION-

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: If you roll a 1-m-diameter wheel forward 30 cm over level ground, through what angle will the wheel…

A: Given,1-meter diameter wheel is rolling forward, 30 cm over level ground.To find an angle for which…

Q: Based on the triangle below, angle H is equal to ___ degrees. *(round to one decimal place)

A: Given,

Q: A 225-foot support wire is attached to the top of a monument at a stake on the ground 100 feet from…

A:

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A:

Q: A steamer sails 100 miles due east and then 40 miles on a bearing of 60 degrees.  How far is the…

A: To locate the steamer with respect to distance and the bearing in reference to the starting point

Q: A 72.1-foot rope from the top of a circus tent pole is anchored to the ground 43.6 feet from the…

A: From the given problem the represented diagram is shown below. Let the angle is θ.   So, with…

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: From the top of a 169-ft lighthouse, the angle of depression to a ship in the ocean is 19°. How far…

A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: At an altitude of 3,500 ft, the engine on a small plane fails. What angle of depression is needed to…

A:

Q: If angle A = -in radians, what is the degree measure of A? Provide your answer below:

A:

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: Use the sine law to determine the measure of angle C, to the nearest degree, given that b = 87.4 ft,…

A: Find angle c

Q: 8. The angle of elevation from a car to a tower is 32. The tower is 150 fn. tall. How far is the car…

A:

Q: A straight kite string makes an angle of 40° with the ground, as shown in the diagram. If y = 240…

A: y=240 ft θ=40o from right angle triangle sinθ=perpendicularhypotenuse

Q: Two airplanes leave an airport at the same time. An hour later, the planes are 210 km apart. If one…

A: Given that two airplanes leaves an airport at the same time. their respective distance shows by a…

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

A:

Q: A radio transmission tower is 358 feet tall. A guy wire is to be attached 6 feet from the top and is…

A: In this question we have to find how many feet long should the guy wire be.

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.