An observer on a ship sights a mountain cliff at a 32-degree angle. The cliff is 1250 feet above sea level. How far is the ship from the shore? Round the answer to the nearest foot. (Hint: Draw a picture to help visualize the problem.)

Q: A tree stands vertically on a hillside which makes an angle of 22° with the horizontal. From a point…

A: Let's find.

Q: What's the answer to this problem?  A radio tower has a 43-foot shadow cast by the sun. If the…

A: Consider the height of the tower is h. Consider the tower is the perpendicular and the shadow is the…

Q: A 48-foot building casts a shadow 72 feet measured along the ground. What is the angle of the sun's…

A: 3.1 :

Q: he angle of depression from a 35-meter lighthouse at a boat is 27°. Find how far is the boat from…

A: I have used trigonometry ratio to solve the problem

Q: To indirectly measure the distance across a river, Audrey stands on one side of the river and uses…

A:

Q: How many miles (1 mile = 5280 feet) is the aircraft from the airport? Round the answer to the…

A: We will use concept of angle of depression.

Q: Use a calculator, spreadsheet, or another tool to solve for the unknown sides of the given right…

A:

Q: 24. A jump ramp for waterskiing is in the shape of a right triangle. The ramp makes an angle of 15"…

A: According to question, A jump ramp for waterskiing is in the shape of right triangle. The ramp makes…

Q: A man standing on the roof of a building 58.0 feet high looks down to the building next door. He…

A: CCA'=58-h

Q: Brian's kite is flying above a field at the end of 65 m of string. If the angle of elevation to the…

A: Given the length of the string,  AB = 65 m Brian is holding the kite off the ground, BC =1.2 m We…

Q: Use a calculator, spreadsheet, or another tool to solve for the unknown sides of the given right…

A: Using Trigonometric Ratios →Sin θ = Opposite side Hypotenuse θ = 10° Opposite = a Hypotrnus=…

Q: 2. Robert is lying on the ground, looking at the top of a flagpole. The angle of elevation to the…

A:

Q: Cannot solve

A:

Q: 200-meter cable is used to support a tower and the cable makes an angle of 60 degrees on the ground.…

A: Given query is to find the height of the tower.

Q: radio tower is located 425 feet from a building. From a window in the building, a person determines…

A:

Q: An inspector is checking handicap ramps making sure the angle isn’t too steep the inspector measures…

A: we use Trigonometry ratios

Q: 50) A car driver is looking at the boy on top of the hill. At the driver's view, he can see that he…

A: Here we use definition of angle of elevation.

Q: Solve the problem. A tower is supported by a guy wire 582 ft long. If the wire makes an angle of 67…

A:

Q: University of Louisville is currently winning the football game against the University of Kentucky.…

A:

Q: Jen is standing on top of the school taking measurements for a trig problem. Her angle of depression…

A:

Q: Two students want to determine the height of a tall building. They stand on the roof of a shorter…

A: First represent the situation diagrammatically and than use the trigonometric ratio.

Q: Ahelicopter hovers 1050 foet above a smal island The figure shows that the angle of depression from…

A:

Q: An airplane pilot over the Atlantic sights an atoll at the angle of depression of 5°. At this time,…

A: To find: The height of the plane to the nearest meter. Given information: An airplane pilot over the…

Q: Penny can see the clock on the top of her town’s courthouse from her front yard. The clock is at a…

A: Angle of elevation

Q: A man looks up at the top of a tall building where he can see a flag. He stands 50 feet away from…

A: We need to find the height of flag pole. We use tan formulae to find the height of flag pole

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

A: We use Trigonometry ratios

Q: From a Poot on the floor the angle of elevation to the top of a door is 47degrees, while the angle…

A: Given, The angle of elevation to the top of a door is 47°. The angle of elevation to the ceiling…

Q: Use a calculator, spreadsheet, or another tool to solve for the unknown sides of the given right…

A: Given: Length of the hypotenuse= BC = 12 Length of Perpendicular to 10°= AB=a Length of…

Q: A surveyor standing some distance from a plateau, measures the angle of elevation from the ground to…

A:

Q: A loading ramp leads to a platform at the back of the school. A 10 ft. board is used to make the…

A:

Q: A blimp provides aerial television views of a tennis game. The television camera sights the stadium…

A:

Q: You are at the top of a lighthouse and measure the angle of depression of an approaching ship.  If…

A:

Q: A woman entering an outside glass elevator on the ground floor of a hotel glances up to the top of,…

A:

Q: “a person standing on the level ground is 2,000 feet away from the foot of a 420-foot-tall…

A: As given construction form a right triangle with two of its side lengths are given so use the…

Q: antenna observes that the angle of elevation to the top of the antenna is  A = 66°.  He then walks…

A:

Q: You decide to put up an outdoor movie screen for the backyard. The screen is 12 feet high, and it…

A: Here the 12ft height screen is fixed using two wires of length 18ft. We have to find the distance of…

Q: A right triangle contains a 50° angle. (a) If one leg has length 6 inches, what is the length of the…

A: We have to find

Q: the plain, the team observes that the angle of elevation to the top of the mountain is 26°. From a…

A:

Q: A diagonal ramp is attached to the back of a tow truck. The ramp is 4 feet in height and forms an…

A: The height, ramp and the base form a right angled triangle. The angle made by ramp with ground is a.…

Q: A forest ranger sights a fire from a tower. She is looking down from a tower at a 10-degree angle.…

A: We Use tan(x) formula for solving this problem. tanx = opposite side/ Adjacent side.

Q: Answer the problem with a complete step-by-step process or solution.  A student on the third floor…

A: Topic = Trigonometric ratios

Q: A man looks out of a window of a building and observes an object on the ground with an angle of…

A:

Q: You look up at a 55 degree angle to see the top of a building the distance from you to the building…

A:

Q: How tall is the building across the street? (Round to the nearest foot.)

A: Follow the procedure given below.

Q: A man standing on the roof of a building 58.0 feet high looks down to the building next door. He…

A:

Q: Kristen is swimming in the ocean and notices a coral reef below her. The angle of depression is 35…

A: Given that Kristen is swimming in the ocean and notices a coral reef below her. The angle of…

Q: A 20-foot ladder is leaning against a wall so that it makes a 65 degree angle with the ground. How…

A:

Q: Ahelcopter hovers 1050 foet above a small island. The figure shows that the angle of depression from…

A: Given  helicopter height above a small island =1050ft angle of depression from helicopter to coast…

Q: Use a calculator, spreadsheet, or another tool to solve for the unknown sides of the given right…

A:

Q: ROBLEM SOLVING You are flying a kite with 20 feet of string extended. The angle of elevation from…

A: Given, A kite is flying 20 feet of string extended  The angle of elevation from the spool of string…

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.