A blue bird sitting in its nest at the top of a tree spots a large red apple in Janice's hands at an angle of depression of 15°. If Janice is 53 ft from the tree and the apple is 4 ft off the ground, how high is the bird off the ground? (2 decimal places)

Q: A wheel is rotating at 4 radians per second, and the wheel has a 60 inch diameter. To the nearest…

A:

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: Find the area of the sector of a circle with diameter 36 feet and an angle of 5π8 radians.   Round…

A: Diameter of the circle is 36 feet , so radius of the circle is r=362=18 feet. central angle of the…

Q: In a right triangle, the longer leg is exactly v3 times the length of the shorter leg. Use the…

A: Given,  Longer leg is exactly 3 times the length of the shorter leg.  Using the inverse tangent…

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: An airplane traveling 400 mph at a cruising altitude of 6.6 mi begins its descent. If the angle of…

A: Given  Speed of airplane = 400 mph Altitude of airplane (at t=0 min) = 6.6mi Angle of descent = 2°

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: Find angle A rounded to the nearest tenth of a degree when cos A = 0.4104.

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Q: Suppose that you are headed toward a plateau 32.5 meters high. If the angle of elevation to the top…

A: Solve the following

Q: A 170-foot tall antenna has 4 guy-wires connected to the top of the antenna, and each guy-wire is…

A:

Q: Find the length of the arc of a circle of diameter 10 meters subtended by a central angle of π/4…

A: Given- Diameter of circle is 10 m Central angle is π4 radians. To find the length of the arc of a…

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: A loading ramp is 21 m long with a height of 7 m. What is the angle of incline that the ramp forms…

A: The length of the loading ramp, l = 21 m and the height of the ramp is h = 7 m To evaluate : The…

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

A:

Q: You are standing 20 feet from the base of a monument. The angle formed by the ground and your line…

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Q: An airplane is flying at an altitude of 11,000 feet. The pilot wants to make a smooth final descent…

A: Given that, altitude = 11,000 feet angle of depression = 5 degree.

Q: A loading ramp is 21 meters long with a height of 6 meters. What is the angle of incline that the…

A: Explanation of the answer is as follows

Q: Find the area of the sector of a circle with diameter 36 feet and an angle of 4π3 radians.   Round…

A:

Q: A woman is watching a launched rocket currently 13 miles in altitude. If she is standing 3 miles…

A: The given information ( Rocket altitude = 13 miles and women standing at 3 miles from the launchpad…

Q: Suppose that you are headed toward a plateau 34 meters high. If the angle of elevation to the top of…

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Q: Find the length of the arc of a circle of radius 12 inches subtended by a central angle of 3pi/4…

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Q: A 50foot tall building has a shadow that is 5 feet long. What is the angle of elevation of the sun?…

A: Given, Height of building is 50 foot. Length of shadow is 5 feet. To find: Angle of elevation of the…

Q: A hiker at the top of a 462-ft mountain measures the angle of depression from the top of a mountain…

A: NOTE: Refresh your page if you can't see any equations. . here we have AB=462 C=5 BC=x

Q: A forester, 175 feet from the base of a redwood tree, observes that the angle between the ground and…

A: Let AB be the height of the tree and C be the position of the Forester as shown below.

Q: The sonar of a navy ship detects a submarine that is 4000 feet from the ship. The angle between the…

A:

Q: Find x, the angle of depression from the top of a lighthouse that is 188 ft above water level to the…

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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: Suppose that you are headed toward a plateau 51.8 meters high. If the angle of elevation to the top…

A:

Q: A 36-ft ladder leans against a building so that the angle between the ground and the ladder is 82°.…

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Q: Suppose that you are headed toward a plateau 22.8 meters high. If the angle of elevation to the top…

A:

Q: Find the length of the arc of the circle of diameter 8 meters subtended by a central angle of pi/5…

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Q: A lighthouse operator sights a sailboat at an angle of depression of 16°. If the sailboat is 120 ft…

A: Given: Angle of depression is 16° Distance between the sailboat and the base of the light house is…

Q: An irrigation sprinkler in a field of lettuce sprays water over a distance of 25 feet as it rotates…

A: We are going to slove above question and find the area of field

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: A 45-foot wooden ladder leans against the wall of the castle so that the angle between the ground…

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Q: Find the area of the sector of a circle with diameter 32 feet and an angle of 5π/6 radians.…

A: We need to find the area of sector of a circle. Radius of circle is given by:…

Q: An aricraft is flying at 300 ft/s with an elevation of 200 ft from the ground, on a straight-line…

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Q: From the top of a 214-ft lighthouse, the angle of depression to a ship in the ocean is 29. How far…

A: From the top of a 214-ft light house, the angle of depression to a ship in the ocean is 29°. we have…

Q: Find the area of the sector of a circle with diameter 30 feet and an angle of 7π/4 radians. Round…

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Q: satellite is orbiting the earth at 20,000 mph. If the radius of the orbit is 4,300 miles, what is…

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Q: (i) the greatest angle of elevation of the top of the lighthouse from a point on the line AC,…

A: Trigonometric functions of an angle are equal to the ratios of the corresponding sides of the…

Q: A 15 meter pole is leaning against a wall. The foot of the pole is 4.3 meters from the wall. Find…

A: The given question is based on Some Applications of Trigonometry which leads to giving the inter…

Q: A pole casts a shadow of 30 ft at one time and a shadow of 15 ft at a later time when the angle of…

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Q: Xavier leans a 28-foot ladder against a wall so that it forms an angle of 69° with the ground. How…

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Q: Suppose that you are headed toward a plateau 27.8 meters high. If the angle of elevation to the top…

A: given that height of plateau 27.8 m and angle of elevation to the top of plateau is 26.5 degree.…

Q: The builder of a parking garage wants to build a ramp at an angle of 12 that covers a horizontal…

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Q: A 31-ft ladder leans against a building so that the angle between the ground and the ladder is 62°.…

A: Given: Length of the ladder is, l=31 ft. Angle between ladder and the ground is, θ=62°. The…

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: A 36-ft ladder leans against a building so that the angle between the ground and the ladder is 61°.…

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Q: Suppose that you are headed toward a plateau 40 m high. If the angle of elevation to the top of the…

A: given is you person  are headed toward a plateau 40 m high and the angle of elevation to the top of…

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.