You shoot a rocket with an angle of elevation of 60 degrees. If the rocket flies straight at 90 miles per hour, how many miles above the ground will it be after twenty minutes?

Q: A man standing near a radio station antenna observes that the angle of elevation to the top of the…

A:

Q: A 15 foot ladder is leaning against the side of a building. The angle of elevation between the…

A: Here we will find height of side of building where ladder can reach,

Q: A 20-foot support post leans against a wall, making a 70° angle with the ground. To the *nearest…

A: Length of the support post = 20foot Angle between ground and support post = 70° sinθ =…

Q: A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level and…

A: A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level and…

Q: From a tower 150 feet high with the sun directly overhead, an airplane and its shadow have an angle…

A:

Q: A hot-air balloon is floating above a straight road. To estimate their height above the ground, the…

A: We sketch the situation roughly C and D are two mile posts. So the distance between them is = 1…

Q: A lamppost casts a shadow of 18 ft when the angle of elevation of the Sun is 33.7°. How high is the…

A: Draw the diagram from the given information.

Q: A ship sailing parallel to shore sights a lighthouse at an angle of 20° from its direction of…

A: Given a ship sailing parallel to shore sighta lighthouse at an angle of 20°

Q: . A lamppost casts a shadow of 18 ft when the angle of elevation of the Sun is 33.7°. How high is…

A: Length of shadow=18ft Angle of elevation=33.7 degree

Q: If a train climbs at a constant angle of 1.25º, how many vertical meters has it climbed after going…

A:

Q: A 30-foot ladder leans against the side of a barn. Find how high up the side of the barn the ladder…

A: Given that A 30-foot ladder leans against the side of a barn. And the angle the ladder makes with…

Q: From the top of the Eiffel Tower, a jogger is spotted heading toward the tower. At 2 pm, the angle…

A: Using Alternate Angle test, where AD is the transversal we get Angle A =37    In Triangle ACD tan 37…

Q: A 20-foot ladder leaning against a wall forms an angle of 46° with the ground. How far up the side…

A: ladder length=20 footwe know-sin θ=xladder

Q: A tower casts a shadow that is 154 feet long when the angle of elevation to the sun is 52°. How tall…

A: We use the definition of tan of an angle heretanθ =opposite sideadjacent side

Q: If the distance e from a point directly below the plane in the picture to a radar station is 125…

A: Solution: The objective is to find the distance from the plane to the ground

Q: A kite flies to a height of 35 feet when 74 feet of string is out. If the string is in a straight…

A:

Q: The height of a tower is 175feet and it casts a shadow of 78 feet. find the angle elevation fUM the…

A: The height of a tower is 175 feet and it casts a shadow of 78 feet.

Q: A bird is flying in the sky when it spots a worm on the ground. If the angle of depression from the…

A:

Q: You hike 400 feet up a steep hill that has a 25° angle of elevation as shown in the diagram. 400 ft…

A: Given, To Evaluate, a, b and m ∠B

Q: The proper angle for a ladder is about 75° from the ground. Suppose you have a 24 foot ladder. How…

A: Given: The angle of the ladder is about 75° from the ground the ladder is 24 foot to find how high…

Q: A kite is flying at an angle of elevation of 43 degrees. Find the height of the kite if 37 ft of the…

A:

Q: person observes that a wire runs from the top of a building to the ground 40 meters away. If the…

A: Given: A person observes that a wire runs from the top of a building to the ground 40 meters away.…

Q: A ladder leaning against a building makes an angle of 78° with the ground. The foot of the ladder is…

A:

Q: A radio tower is located 375 feet from a building. From a window in the building, a person…

A: here we have

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 escalator in a department store is to carry people a vertical distance of 20 feet between floors.…

A:

Q: To measure a stone face carved on the side of a​ mountain, two sightings 750 feet from the base of…

A:

Q: An 8-foot ladder leaning against a wall makes an angle of 74 with the ground. How high up the wall…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: An escalator in a department store is to carry people a vertical distance of 10 feet between floors.…

A: Given that An escalator in a department store is to carry people a vertical distance of 10 feet…

Q: The most powerful lighthouse on Lake Michigan is 50 m tall. Suppose you are in a boat just off the…

A:

Q: A hot-air balloon is floating above a straight road. To estimate their height above the ground, the…

A:

Q: From the top of the CN tower, the angle of depression to the tip of the tower's shadow is 88°. The…

A: From the top of the CN tower, the angle of depression to the tip of the tower's shadow is 88°. The…

Q: From a building across the street, the angle of depression of the foot of an edifice is measured as…

A:

Q: A 16 foot ladder leaning against a wall of a house makes a 50° angle with the ground. How far up the…

A: given: A 16 foot ladder leaning against a wall of a house makes a 50° angle with the ground. we have…

Q: The line of sight from a small boat to the light at the top of a 35-foot lighthouse built on a cliff…

A: The given image is

Q: A man on the deck of a ship is 13 ft above water level. He observes that the angle of elevation of…

A:

Q: From the top of a fire tower, a forest ranger sees his partner on the ground at an angle of…

A: We know that the trigonometric ratio of tangent is  tan(x) = perpendicular / adjacent  tan(x) =…

Q: From your balcony 8 feet high, you see a child across the street. The angle of depression to the…

A:

Q: A man is lying on the beach flying a kite he holds the end of the kite string at ground level and…

A: If you like the solution then please give it a thumbs up.... The Answer is:       Result ≈  344.72…

Q: A man climbs 213 meters up the side of a pyramid and finds thatthe angle of depression to his…

A: A man climbs 213 meters up the side of a pyramid and finds that the angle of depression to his…

Q: A submarine traveling at 9 mph is descending at an angle of depression of 5 degrees. How many…

A: Given, a submarine traveling at 9 mph is descending at an angle of depression of 5 degrees.

Q: An airplane is one mile above sea level when it begins to rise at a constant angle of 2 ° for the…

A:

Q: If you stand 100 feet from the gym, how tall would it be if the angle of elevation feet to the top…

A: Lets assume that the gym is x feet tall . Drawing the Diagram as per  the Question , Let OA…

Q: To estimate the height of a building, two students find the angle of elevation from a point (at…

A: consider the figure as follows  Let h be the height of the building  consider triangle ABD tan…

Q: The proper angle for a ladder is about 75° from the ground. Suppose you have a 26 foot ladder. How…

A:

Q: A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level, and…

A: Let the angle of elevation be 'θ' and the length of the string be 'x'. Let the height of the kite…

Q: An escalator in a department store is to carry people a vertical distance of 25 feet between floors.…

A: An escalator in a department store is to carry people a vertical distance of 25 feet between floors.…

Q: A hot-air balloon is floating above a straight road. To calculate their height above the ground, the…

A: Given that a hot-air balloon is floating above a striaght road angles of depression are 21° and 23°…

Q: A 16 foot ladder leaning against a wall of a house makes a 50° angle with the ground. How far up the…

A:

Q: From the observation deck of a skyscraper, Jamal measures a 51° angle of depression to a ship in the…

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.