At a point 45 feet from the base of a church, the angles of elevation to the bottom of the steeple and the top of the steeple are 35° and 49°, respectively. Find the height of the steeple. (Round your answer to one decimal place.)

Q: From the top of an incline road, 256 feet long, a vertical tower at the bottom subtends an angle of…

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Q: An engineer designs a 80-foot cellular telephone tower. Find the angle of elevation to the top of…

A: Given data is : An engineer designs a 80-foot cellular telephone tower To find the angle of…

Q: At a point 200 feet from the base of a building, the angle of elevation to the bottom of a…

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Q: A boat is travelling due south at a speed of 53 miles per hour. If the boat started off 29 miles…

A: Let us suppose the distance of the boat towards south is y. Let the angle of the boat from the…

Q: A pilot is at an altitude of 3,000 ft, and is 7,060 ft in horizontal distance from the end of the…

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Q: Find the exact values of the sine, cosine, and tangent of the angle 15°

A: Find the exact values of the sine, cosine, and tangent of the angle 15°

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

A: detailed solution is given below

Q: At a point 50 feet from the base of a church, the angles of elevation to the bottom of the steeple…

A: Given,          At a point 50 feet from the base of a church , the angles of elevation to the…

Q: When a six-foot pole casts a four-foot shadow, what is the angle of elevation of the Sun? Round to…

A: A six-foot pole casts a four-foot shadow. Now the diagrammatic representation is,

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: the distance, in feet, from the base of the conveyor belt to the building

A: Given, A 15-foot conveyor belt for raising and lowering supplies is leaning against a building at a…

Q: In a circle of radius 18 inches, the length of the arc subtended by a central angle of 1.1 radians…

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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: A person standing 364 feet from the base of a church observed the angle of elevation to the church's…

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Q: A surveyor stands on a grassland and sees an evergreen tree on the side of a hill. Using their…

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

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Q: From a point on the ground 47 feet from the foot of a tree, the angle to the top of the tree is 35…

A: The following diagram depicts the situation, Here AB represents the tree and C is the location of…

Q: An engineer designs a 90-foot cellular telephone tower. Find the angle of elevation to the top of…

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Q: A 22-ft ladder leans against a building so that the angle between the ground and the ladder is 77 °.…

A:

Q: From the top of a 300 feet tallI lighthouse, the angle of depression to a ship in the ocean is 21°.…

A:

Q: Assuming that a 360-foot tall giant redwood grows vertically, if I walk a certain distance from the…

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Q: A wheel is rotating at 7 radians/sec, and the wheel has a 61-inch diameter. To the nearest foot,…

A: Explained below

Q: A 90-foot rope from the top of a tree house to the ground forms a 45° angle of elevation from the…

A:

Q: A​ blimp, suspended in the air at a height of 600 ​feet, lies directly over a line from a sports…

A: The distance between the sports stadium is

Q: The angle of elevation to a nearby tree from a point on the ground is measured to be 73°. How tall…

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Q: To find the height of a tree, a person walks to a point 30 feet from the base of the tree and…

A: Let height of tree be ABNow in triangle ABCtan 57 = PerpendicularBasetan 57 = ABACAB = 30 tan 57AB =…

Q: From the top of a 167-ft lighthouse, the angle of depression to a ship in the ocean is 20°. How far…

A:

Q: Find the exact values of the sine, cosine, and tangent of the angle 345°

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

A: On solving ,we get

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 wheel is rotating at 4 radians per second, and the wheel has a 57-inch diameter. To the nearest…

A: A wheel is rotating at 4 radians per second and the diameter of the wheel is 57 -  inches.Here, 1…

Q: What is the angle of elevation from the ground to the top of a 45-ft tree from 65 feet away? Round…

A: Please follow the next step.

Q: The angle between 0 and 2T in radians that is coterminal 55 T in radians is 8 with the angle

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Q: From the top of a 163-ft lighthouse, the angle of depression to a ship in the ocean is 21°. How far…

A: Height of the lighthous and angle of depression is given. So first draw the digram then use the…

Q: Find x, the angle of depression from the top of a lighthouse that is 173 ft above water level to the…

A: We have to find the angle x.

Q: The angle of elevation to a nearby tree from a point on the ground is measured to be 47°. How tall…

A: Given that angle of elevation to a nearby tree from a point on the ground is 47° and the tree is 67…

Q: Find the length of the arc intercepted by a central angle of (2\pi )/(5) radians to a circle radius…

A:

Q: A person standing 100 feet from the bottom of a cliff notices a tower on top of the cliff. The angle…

A: Given that  A person standing 100 feet from the bottom of a cliff. The angle of elevation of the top…

Q: From the top of a fire tower that is 45 feet high, a forest ranger sees her colleague on the ground…

A: From the top of a fire tower that is 45 feet high, a forest ranger sees her colleague on the ground…

Q: What is the radian measure of a 270° angle? What is the degree measure of a 5p>4-rad angle?

A: Given: Angle 270° and 5π4 radian.

Q: A ship is just off the shore of New York City. A sighting is taken on the Statue of Liberty, which…

A: Given  Height = 305 feet  Base = 950 feet  We need to find the angle of elevation

Q: A wheel is rotating at 5 radians/sec, and the wheel has a 83-inch diameter. To the nearest foot,…

A: Given that the diameter= 83 inch  so, radius=r=832=41.5 inch Given angular velocity=ω= 5 radians/sec…

Q: A building 290 feet tall casts a 100 foot long shadow. If a person stands at the end of the shadow…

A: Given,Height of building = 290 feetShadow length = 100 feetThe person’s height = 5 feet

Q: At a point 40 feet from the base of a church, the angles of elevation to the bottom of the steeple…

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Q: 7. Determine the measure of an angle in Quadrant 3 which would have the same sine value as 185°

A: We can use this formula to find the measure of the angle in third quadrant, sin y = -sin(y-180),…

Q: From a point 250 ft from the base of a tower, the angle of elevation to the top of the tower is 18.5…

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Q: A radio tower is located 300 feet from a building. From a window In The building, a person…

A: Answer is in below step

Q: A poll tilts towards the sun at an 8 degree angle from the vertical at it casts a 22ft. shadow. The…

A: Given:  A poll tilts towards the sun at an 8-degree angle from the vertical at it casts a 22ft.…

Q: A helicopter is hovering 78 feet above a landing pad. If the man is 81 feet from the landing pad,…

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Q: The angle between 0 and 2T in radians that is coterminal 62 T in radians is 9 with the angle

A: To get coterminal angles, we have to add or subtract 2π.

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.