A surveyor who is measuring the tallest tree in a park is 175 ft from the tree. His angle-measuring device is 4 ft above the ground. The angle of elevation to the top of the tree is 40°. How tall is the tree?

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

A:

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

A: Given that, there is a triangle with angle A which is complement of 52 degree   A = 90-52 = 38…

Q: A boy is 1.5 m tall standing 12 m away from a church building which has a tower on top of its roof.…

A: We are given that a boy is 1.5 m tall standing 12 m away from a church building that has a tower on…

Q: From his eye, which stands 1.61 meters above the ground, Jacob measures the angle of elevation to…

A:

Q: A 300 foot tall monument is located in the distance. From a window in a building a person determines…

A:

Q: Fred was measuring the height of a building. He stood standing at some distance from the building…

A:

Q: The Sibago Island lighthouse in Zamboanga stands on a rock 163.4 meters above sea level. A man in…

A: 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: A 370-foot tall giant redwood grows exactly vertically from the ground. I walked a certain distance…

A: for given information :

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: A surveyor measured the angle of elevation of a flat spire as 15 degrees from a point on horizontal…

A:

Q: A man standing on a 45m building high, has an eyesight height of 1.5m from the top of the building,…

A:

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

A: Given angle of elevation of woman to see the top of building from ground floor = 55°. She rides…

Q: Disney’s tower of terror ride is 199ft tall. If josh is standing 132 ft from the base of the ride,…

A:

Q: A surveyor measuring the tallest tree in a park is 100 feet from the tree. His angle measuring…

A: We sketch the situation roughly.  AC= tallest tree, D= angle measuring device  Given, DE=5, BD= 100…

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

A:

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: A rectangular box has length 11 inches, width 20 inches, and a height of 7 inches. Find the angle…

A:

Q: The bell tower of the cathedral in Pisa, Italy, leans 5.6° from the vertical. A tourist stands 105 m…

A:

Q: In the figure, a person standing at point A notices that the angle of elevation to the top of the…

A: Given: A Person standing at point A  is making an angle of elevation to the top of antenna =46°30' A…

Q: A person standing at a point some distance away from the base of an antenna tower measures the angle…

A:

Q: Andy is standing on top of a building that is 38 feet tall. A neighboring building is directly…

A:

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

A: Given  a spotlight upward at an angle 75◦ from the horizontal

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

A: Draw the situation using right triangles and use trigonometric ratios.

Q: An observer at the top of a 532 foot cliff measures the angle of depression from the top of the…

A:

Q: A football lands at the edge of the roof of your school building. When you are 25 feet from the base…

A:

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

A: Let 'x' be the length of the building from three floors The full length of the building across the…

Q: Find x, the angle of depression from the top of a lighthouse that is 189 ft above water level to the…

A:

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

A:

Q: The height of an inaccessible cliff needs to be calculated. From a boat, which is 187 meters out…

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:

Q: 11) Meryl is standing 100.5 feet from the Eiffel Tower and sees a bird land on the top of the tower.…

A:

Q: after a hurricane a homeowner examines trees on his property for damage.he thinks a 22ft.palm tress…

A:

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

A: Given  Angle of elevation from ground floor to top of the building = 49° Angle of elevation from…

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

A:

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

A: Refer the figure that illustrates the given information

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

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

A: for the triangle ABE, use the tan function  tan31=xy y=xtan31

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: om its original vertical position. From a point 23 ft away, he measures the angle of elevation to…

A:

Q: You are standing 10 feet away from a tree, and you measure the angle of elevation to be 19°. How…

A: By using trigonometric ratio and Pythagoras theorem, we calculate the height of the tree.

Q: A damsel is in distress and is being held captive in a tower. Her knight in shining armor is on the…

A:

Q: Find x, the angle of depression from the top of a lighthouse that is 151 ft above water level to 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: A 20-ft ladder leans against a building so that the angle between the ground and the ladder is 72…

A: Consider the ladder is the hypotenuse of the triangle that is 20 ft. The angle between the ladder…

Q: The angle of elevation to the top of the Empire State Building in New York is found to be 13 degrees…

A: Using trigonometry, tan 13 = h/1355 h = 1355*tan 13  h = 1355* 0.23 h = 312.826 meters

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.