A right angle made of two tiny rods is hung by a string as in the figure below. The mass of the rods is proportional to their lengths. The ratio of b to a is 1.70. What is

Q: The cross section of a rivet has a top that is an arc of a circle. If the ends of the arc are 11 mm…

A: From the given information, length of the arc is 11 mm and since the top is 7 mm apart , the radius…

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

A:

Q: A 200-foot cliff drops vertically into the ocean. If the angle of elevation from a ship to the top…

A: Let the distance of the ship offshore is x feet. A rough sketch of given situation is shown below…

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

A:

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

A:

Q: A lighthouse is 20 feet tall, and a boat is 50 feet from the base of the lighthouse. What is the…

A:

Q: A building at the foot of a hill is 15.6 m high. Find the height of the hill if the angle of…

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 student stands at point A and measures the angle of elevation to the top of a building at 30°. She…

A:

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: The CN Tower in Toronto, Canada, is the tallest free-standing structure in the world. A woman on the…

A: Here,  AB is the tower of height h = 1100 ft and the landmarks are placed at C and D with their…

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

A:

Q: A six foot man is standing 80 feet away from a building.  He looks up at a 30° angle to see the top…

A:

Q: 7) Find the height of a building that projects a shadow of 350 ft on the ground, if the angle of…

A: The height of the building that projects a shadow of 350 ft on the ground  and the angle of…

Q: A telephone pole is 55 feet tall. A guy wire 80 feet long is attached from the ground to the top of…

A: According to the question the figure is,

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

A:

Q: A man 5 ft 9 in. tall stands on a sidewalk that slopes down at a constant angle. A vertical street…

A: First we find angle Then use sine law

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: A radio tower is located 400 feet from a building. From a window In The building, a person…

A:

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

A:

Q: 2.) A boat is 100 feet from shore. If the angle from the captain to the top of the lighthouse is…

A:

Q: 1. From the top of a cliff 400 feet above sea level, the angle of depression of a boat out to sea is…

A:

Q: The angle of depression of a submarine from another ship is 28°. The submarine is 791 ft from the…

A:

Q: Richard sees a balloon that is 100 ft above the ground. If the angle of elevation from Richard to…

A: Given the angle of the elevation is 75 degrees. The given traingle is right angle traingle. Given…

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

A:

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

A:

Q: 2. Viola drives 170 meters up a hill that makes an angle of 6° with the horizontal. To the nearest…

A:

Q: A ladder 16 feet long leans against the side of a building, and the angle formed by the ladder and…

A: Given, Length of ladder = 16 feet

Q: A radio tower is located 350 feet from a building. From a window in the building, a person…

A:

Q: A man wants to determine the height of a light house. He measured the angle from the ground and…

A: Given   tan A=3/4 Distance from base of light house to A is 40m .  We have to find height of light…

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: The CN Tower in Toronto, Canada, is the tallest free-standing structure in North America. A woman on…

A: Redraw the given figure with line BC as shown below.

Q: To measure the height of the cloud cover at an airport, a worker shines a spotlight upward at an…

A: To measure the height of the cloud cover at an airport, a worker shines a spotlight upward at an…

Q: a girl 1.2m tall is 25m away from a tower 18m high.what is the angle of elevation of the top of a…

A:

Q: A water tower is located 322 feet from a building. From a window in the building, an observer notes…

A: We can find the answer to both the question as below.

Q: The angle of depression of a submarine from another ship is 28 degrees. The submarine is 791 feet…

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: A basketball player looks directly at the rim that is 10 feet high. The angle of elevation from her…

A:

Q: A television antenna of 8 feet height is located on the top of a house. From a point on the ground…

A:

Q: he angle of elevation from a point on the ground to the top of the 225-foot cell phone tower is 65…

A: Given the length of tower is 225 foot which is also perpendicular of triangle  angle is 65 degree…

Q: how many meters above the ground is the balloon if there is no stack on the cable?

A:

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

A:

Q: A 75-ft tall masthead of a tugboat is located 45 ft. away from the bow. If the top of the masthead…

A:

Q: A person stands 35.0 m from a flag pole. With a protractor at eye level, he finds that the angle at…

A: Given:- A person stands 35.0 m from a flag pole. With a protractor at eye level, he finds that the…

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 radio tower is located 400 feet from a building. From a window in the building, a person…

A:

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

A:

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

A: Here we will find height of balloon from the ground,

Q: security camera in a neighborhood bank is mounted on a wall 9 feet above the floor. What angle of…

A:

Q: 3. An offshore lighthouse is 2km from a coastguard station C and 2.5 km from hospital H near the…

A: let C be the coast guard station let H be the hospital and L be lighthouse

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.