Two kids, Albert and Bhara, are 20.0 m apart. Albert sees a soccer ball 25.0 m away. If the angle between the line formed by Albert and Bhara and the line from Albert to the soccer ball is 25°, how far is Bhara from the soccer ball? Correctly round your answer to the nearest tenth of a meter.

Q: from a hot air balloon 2 km high, a person look east sees one town with angle of depression of 12…

A:

Q: To estimate the height of a tree to people position himself 35 feet apart. From the first person,…

A:

Q: A geologist wants to measure the diameter of a crater. From her camp, it is 5 miles to the…

A:

Q: To calculate the height of a tree, Marie measures the angle of elevation from a point A to be 46°.…

A: The sides and angles of a right triangle are related by the trigonometric functions. Trigonometric…

Q: A boat is 1000 meters from the base of a cliff. If the angle of depression from the top of the cliff…

A:

Q: - An airplane begins its descent with an average speed of 240 mph at an angle of depression of 4°.…

A: Given: Average speed of 240 mph at angle of depression of 4 degree To find how much altitude will…

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: A ski run on Giant Steps Mountain in Utah is 1475 m long. The difference in altitude from the…

A: From the diagram drawn:

Q: A communication tower is located at the top of a steephill, as shown. The angle of inclination of…

A:

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

A:

Q: The angle of elevation to a nearby tree from a point on the ground is measured to be 65∘∘. How tall…

A: given: The angle of elevation to a nearby tree from a point on the ground is measured to be . we…

Q: You are in a tall building and from your window you notice a window washer working on the building…

A:

Q: From the top of a 300 feet tallI lighthouse, the angle of depression to a ship in the ocean is 21°.…

A:

Q: A hot-air balloon is flying at an altitude of 2685 feet. If the angle of depression from the pilot…

A:

Q: After a hurricane, a homeowner examines trees on his property for damage. He thinks a 21-ft palm…

A: After a hurricane, a homeowner examines trees and thinks a 21-ft palm tree is leaning slightly from…

Q: The angle of elevation to a nearby tree from a point on the ground is measured to be 47°. How tall…

A:

Q: An observer at the top of a building sees a car on the road below. The angle of depression to the…

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: A 90-foot rope from the top of a tree house to the ground forms a 45° angle of elevation from the…

A:

Q: From the observation deck of a skyscraper, Deion measures a 48° angle of depression to a ship in the…

A: Topic = Trigonometric ratios

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

A:

Q: The angle of elevation to a nearby tree from a point on the ground is measured to be 73°. How tall…

A:

Q: A kite flies at a height of 35 feet when 60 feet of string is out.If the string is in a straight…

A: We have, a kite flies at a height of 35 feet when 60 feet of string is out and the string is in a…

Q: After a hurricane, a homeowner examines trees on his property for damage. He thinks a 21-ft palm…

A: Given, the tree is considered to be slightly inclined vertically. So, the height of the tree will…

Q: Jazmin is flying a kite but it got caught at the top of a 24 ft tree. If she let out 100 ft of…

A: Given, Jazmin is flying a kite but it got caught at the top of a 24 ft tree. If she let out 100 ft…

Q: A kite is 50 feet high when 170 feet of string is out. What angle does the kite make with the ground…

A:

Q: A hot-air balloon is flying at an altitude of 2540 feet. If the angle of depression from the pilot…

A:

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

A:

Q: A surveyor starts at the edge of a lake, at point 4, and measures a 90° angle between B and C, as…

A: The solution as follows :-

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

A:

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

A:

Q: On a bike ride you come to a hill that has a grade of 5%. To the nearest degree, what is the angle…

A: Slope of the hill = tanƟ = 5% = 5 / 100 = 0.05 where Ɵ is  the angle this hill makes with 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 straight kite string makes an angle of 40° with the ground, as shown in the diagram. If y = 200…

A: Given: A straight kite string makes an angle of 40° with the ground also 200 feet string has been…

Q: The angle of elevation to a nearby tree from a point on the ground is measured to be 64°. How tall…

A:

Q: The angle of elevation to a nearby tree from a point on the ground is measured to be 47°. How tall…

A: Given that angle of elevation to a nearby tree from a point on the ground is 47° and the tree is 67…

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: Two hikers set out in different directions froma marked tree on the Bruce Trail. The angle formed…

A: Given query is to find the distance between the hikers.

Q: From his eye, which stands 162 meters above the ground, Almadou ie angle of elevation to the top of…

A: Using  Tan thita= perpendicular/base

Q: A hot-air balloon is flying at an altitude of 2975 feet. If the angle of depression from the pilot…

A:

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: The peak of Mt. Fuji in Japan is approximately 12,400 feet high. A trigonometry student, several…

A: The height of the peak is 12,400 feet.

Q: Janelys leans a 16-foot ladder against a wall so that it forms an angle of 61° with the ground. How…

A: Here AC = length of ladder = 16 foot AB = wall BC = ground m∠ACB = 61° We have to find the length of…

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

A:

Q: Suppose that you are headed toward a plateau 50 meters high. If the angle of elevation to the top of…

A:

Q: A surveyor detects that the angle of elevation to the top of a skyscraper is 14) 42°45'. After…

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: Man holds the end of the kite string at ground level and estimates the angle of elevation of the…

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: 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.