An airplane traveling 400 mph at a cruising altitude of 6.6 mi begins its descent. If the angle of descent is 2° from the horizontal, determine the new altitude after 15 min. Round to the nearest tenth of a mile.

Q: Find the degree measure of the angle formed by the hands of a clock at 5:00 in the afternoon.

A:

Q: When the direction of the sun makes an angle of 35.2° with the horizontal, an oil derrick casts a…

A: When the direction of the sun makes an angle of 35.2° with the horizontal, an oil derrick casts a…

Q: The solar azimuth angle for a body whose length is half the length of its shadow is *

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

A:

Q: An observer is 120 ft from the base of a television tower, which is 150 ft tall. Find the angle of…

A: Given query is to find the angle of elevation.

Q: A tree casts a 25-foot shadow on a sunny day, as shown in the diagram below. 32 - 25 ft – If the…

A: Solution: The objective is to find the height of the tree

Q: A person in a small boat, offshore from a vertical cliff known to be 100 feet in height,takes a…

A: Given: A person in a small boat, offshore from a vertical cliff known to be 100 feet in height,…

Q: If you stand 35 feet from the bottom of a movie screen and the screen is 75 feet tall, what is the…

A: If you stand 35 feet from the bottom of a movie screen. The screen is 75 feet tall its make a…

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: A hunter is laying on the ground near a 15 foot tall tree. He sees his prey on top of the tree at an…

A:

Q: A slide 4 m long makes an angle of 27 degrees with the ground. How high is the top of the slide…

A: Given,          A slide 4 m long makes a angle of 27 degrees with the ground.

Q: A campsite is 8.51 miles from a point directly below the mountain top. If the angle of elevation is…

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Q: A building 230 feet tall casts a 40-foot-long shadow. If a person stands at the end of the shadow…

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

A:

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

A:

Q: A person 100 meters from the base of a tree, observes that the angle between the ground and the top…

A: Given: The distance between the base of a tree and person is 100 meters. Angle  between the ground…

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

A:

Q: Find the angle of elevation of the sun, in degrees, when a 12 meter tall telephone pole casts a 21.6…

A:

Q: A tree casts a shadow of 14.7 meters when the angle of elevation of the sun is 13.1 degrees. How…

A: A tree shadow of 14.7 meters  angleof elevation of the sun is 13.1 degrees. To find :- Height of a…

Q: From the top of a building that overlooks an ocean, an observer watches a boat sailing directly…

A: Firstly try to make the diagram of the given information and then observe. Use tangent of angle to…

Q: Find the value of the angleθ in degrees rounded to the nearest tenth of a degree.

A: Given-  To Find- The value of the angle θ in degrees rounded to the nearest tenth of a degree.

Q: A lamppost casts a shadow of 18 ft when the angle lamppost? Round to the nearest foot.

A: Explanation and solution is given below....

Q: The angle of elevation to the top of a building in Seattle is found to be 2.8 degrees from the…

A: Given that: Angle of elevation  = 2.8°Distance from the base = 1.5 miles

Q: An airplane is observed to be approaching a point that is at a distance of 15 km from the point of…

A:

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: 3. Find the angle of elevation of the sun from the ground to the top of a tree when a tree that is…

A: As per our guidelines we are supposed to do only first question among multiple questions. To get the…

Q: Find the measure of the indicated angle to the nearest degree.

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Q: 3. Find the height of a tree if the angle of elevation of its top changes from 20° to 40° as the…

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Q: Find the angle of elevation of the sun when a 22 ft. tree casts a shadow 15 R. long on level ground.

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Q: If the distance between a ship and a 242 ft lighthouse is 703 ft, what is the angle of elevation…

A: Given:- If the distance between a ship and a 242 ft lighthouse is 703 ft, To find:- The angle of…

Q: A building 150 feet tall casts a 30 foot long shadow. If a person looks down from the top of the…

A: Given,

Q: An airplane traveling at 600 mph at a cruising altitude of 6.9 mi begins its descent. If the angle…

A:

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

A: Given, Building’s height = 290 feet Shadow’s length = 100 feet Person’s height = 5 feet

Q: The angle of elevation is degrees (to the nearest degree)

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Q: A satellite orbiting the earth passes directly overhead at observation stations in Phoenix and Los…

A:

Q: A person in a small boat, offshore from a vertical cliff known to be 100 feet in height, takes a…

A:

Q: Find the angle of elevation of the sun when a 20 ft. pole casts a shadow 40 ft. long on level…

A: NOTE: Refresh your page if you can't see any equations. . here we have AB=20 feet (height of the…

Q: A person in a small boat, offshore from the vertical cliff known to be 100 feet in height, takes a…

A: Given  It has to find distance from a person to base of plateau. Here p=100 feet's

Q: A monument is 95 meters highAt an information booth, an observer notices the angle of elevation to…

A:

Q: An arc has a length of 123.53 millimeters and a radius of 28 millimeters. What is the angle of the…

A: Consider the angle θ at the center covered by the arc of length 123.53 mm. Here, the objective is to…

Q: What is the angle of elevation to the nearest tenth of a degree to the top of a 35-ft building from…

A: Let the angle of elevation to the building be θ. The height of the building = 35 ft.

Q: A wheelchair ramp is to be built beside the steps to the campus library. Find the angle of elevation…

A: Given;  Final height is 6 feet. The ramp is the hypotenuse and the elevation is the short leg of a…

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: From a distance of 300 m, Susan looks up at the top of a lighthouse. The angle of elevation is 5°.…

A: Given, From a distance of 300 m, Susan looks up at the top of a lighthouse. The angle of elevation…

Q: Find the measure of the indicated angle to the nearest degree

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

A:

Q: Suppose your angle of elevation to the top of a water tower is 78°. If the water tower is 145 ft…

A: Here we will use the concept of trigonometry and find the solution. We have to find the distance…

Q: Determine the value of angle A that corresponds to sec A = 1.3100. Round the answer to the nearest…

A: secA = 1.3100

Q: The radian measure of an angle of 334 degrees is

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.