To estimate the height of a tree to people position himself 35 feet apart. From the first person, the bearing of the tree is N 47° E and the angle of elevation to the top of the tree is 72°. If the bearing of the tree from the second person is N 39° W, estimate the height of the tree to the nearest foot.

Q: After a hurricane, a homeowner examines trees on his property for damage. He thinks a 22-ft palm…

A: To solve the following problems

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 kite is flying at an angle of elevation of 67° with the ground. If 100 feet of string have been…

A:

Q: The angle of elevation to the top of a Building in New York is found to be 10 degrees from the…

A:

Q: A radio tower is located 500 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: From his eye, which stands 1.61 meters above the ground, Jacob measures the angle of elevation to…

A:

Q: The angle of elevation to the top of a Building in New York is found to be 9 degrees from the ground…

A: This problem can be set up as a right triangle where the tall  side ( height of the building) is an…

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 is located 250 ft from a building. From a window in the building, a person determines that the…

A:

Q: A pilot is flying over a flat (horizontal) land. She determines the angle of depression to a…

A: The given situation is as shown. Now, use the fact that sum of the angle s of the triangle is 180°.…

Q: The angle of elevation from a boat to the top of a lighthouse is 50°. If the boat is 150 feet from…

A:

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

A:

Q: A kite is flying 84 ft off the ground, and its string is pulled taut. The angle of elevation of the…

A:

Q: If a loading ramp is placed next to a truck, at a height of 4 feet, and the ramp is 23 feet long,…

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: A kite is flying 85 ft off the ground, and its string is pulled taut. The angle of elevation of the…

A:

Q: After a hurricane, a homeowner examines trees on his property for damage. He thinks a 22-ft palm…

A: We have to find whether the palm tree leaning. If so, by how many degrees from the vertical.

Q: A student measures the length of the shadow of the Washington Monument to be 620ft. If the Monument…

A:

Q: To estimate the height of a tree, one person stands due north of the tree and a secondperson stands…

A: As the distance between the tree and the two people are equal thus let the distance between the tree…

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

A:

Q: The angle of elevation to the top of a Building in New York is found to be 11 degrees from the…

A:

Q: After a hurricane, a homeowner examines trees on his property for damage. He thinks a 22-ft palm…

A: This question is based on using of Sine law.

Q: If a loading ramp is placed next to a truck, at a height of 2 feet, and the ramp is 21 feet long,…

A: Given: A loading ramp is placed next to a truck, at a height of 2 feet, and the ramp is 21 feet…

Q: The top of the building makes an angle of elevation of 40 degrees from a car parked on the ground.…

A: From triangle,tan40o = 60xx = 60tan40o = 71.50 mSo, the car is parked 71.50 m away from the base of…

Q: a.) Mr. Brown can wash his car in 15 minutes, while his son John takes twice as long to do the same…

A: Here I am attaching image so that you understand each and every step.

Q: From a point on the ground, the angle of elevation to the top of a vertical wall is 40°. If the wall…

A:

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

A: Solve for the height of the tower

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

A: here we have

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

A:

Q: After a hurricane, a homeowner examines trees on his property for damage. He thinks a 22-ft palm…

A:

Q: The angle of depression from the top of a lighthouse to a ship is 40 degrees. If the lighthouse is…

A:

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

A: When the person is looking up the angle formed by line of sight and horizontal line is called the…

Q: A radio transmission tower is 319 feet tall. A guy wire is to be attached 6 feet from the top and is…

A:

Q: The proper angle for a ladder is about 75 from the ground. Suppose you have a 15 foot ladder. How…

A: we have a 15 foot ladder which is attached to a wall at a angle of 75°

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

A:

Q: A person standing on the street looks up to the top of a building and finds the angle of elevation…

A: Given that the person is standing near the building

Q: The angle of elevation to the top of a Building in New York is found to be 5 degrees from the ground…

A: The angle of elevation to the top of a building in New york is found to be 5 degreesfrom the ground…

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

A:

Q: person standing 397 feet from the base of a church observed the angle of elevation to the church's…

A: A person standing 397 feet from the base of a church observed the angle of elevation to the church's…

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: If a loading ramp is placed next to a truck, at a height of 3 feet, and the ramp is 20 feet long,…

A: I am going to solve the given problem by using some simple trigonometry results to get the required…

Q: The angle of elevation to the top of a Building in New York is found to be 7 degrees from the ground…

A: Refer to the figure shown below:

Q: what angle does the ramp make with the ground

A: The arrangement forms an right angled triangle with ramp is hypotenuse. So by using trigonometric…

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

A:

Q: The proper angle for a ladder is about 75 degrees from the ground. Suppose you have a 9 foot ladder.…

A: Consider the triangle:

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: If a loading ramp is placed next to a truck, at a height of 2 feet, and the ramp is 19 feet long,…

A:

Q: The angle of elevation to the top of a Building in New York is found to be 8 degrees from the ground…

A:

Q: After a wind storm, a farmer notices that his 37-foot windmill may be leaning, but he is not sure.…

A: Given: After a wind storm, a farmer notices that his 37-foot windmill may be leaning,but he is not…

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.