Meteorology A meteorologist measures the angle of elevation of a weather balloon as 41°. A radio signal from the balloon indicates that it is 1503 m from his location. To the nearest meter, how high above the ground is the balloon?

Q: An aerial photograph is taken of a building. The photograph is made when the angle of elevation of…

A: The angle of elevation is the angle that a point makes with reference to another point with the…

Q: An aerial photograph is taken of a building. The photograph is made when the angle of elevation of…

A: Draw the diagram according to the situation.

Q: Height A football lands at the edge of the roofof your school building. When you are 25 feet fromthe…

A: Draw a diagram:   From the diagram, you have the sides opposite and adjacent to the angle so use…

Q: An aerial photograph is taken of a building. The photograph is made when the angle of elevation of…

A: tan θ=oppositeadjacent

Q: While standing on top of a hill at a ski resort, Lisa spots the ski lodge below. the vertical height…

A:

Q: Brandon sights a helicopter above a building that is 200 feet away at an angle of elevation of 30°.…

A: Given  Brandon sights a helicopter above a building and  building is 200 feet away at an angle of…

Q: A radio tower is located 275 feet from a building. From a window in the building, a person…

A:

Q: The angle of elevation from the end of 63 ft long shadow to the top of a monument is 40°. To the…

A: The angle of elevation from the end of 63 ft long shadow to the top of a monument is 40°.

Q: television towers, each 100 meters tall, are 350 meters apart. Find the angle of elevation from the…

A:

Q: Sarah meassures a 34 degrees angle of elevation to the top of mountain.  After moving 100 yards…

A: Given, Sarah meassures a 34 degrees angle of elevation to the top of mountain.   After moving 100…

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

A: A

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

A: for given information :

Q: Use a picture to help solve the problem. A fireman leaned a 36-foot ladder against a building. If he…

A:

Q: From a point on the ground 43m away from a tree, the angle of elevation is 30 degrees. How tall is…

A:

Q: A surveyor observes that the angle between the road and the bottom of a bridge girder is 30 degrees.…

A: Given data is : Angle θ=30∘ Bridge clearance is 16.5 feet. To find the horizontal distance from the…

Q: . Standing on top of a 30-ft lifeguard tower, an observer measures the angle of elevation of a…

A: We will be using the formula of tangent at the given triangles to find the height (h) of the…

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: Determine the angle 0 in the design of the streetlight shown in the figure, where x = 2. (Round your…

A: we have to given street light diagram here given x=2 we have to find angle θ

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: pts 5. A person stands 25 feet from the base of a building and measures the angle of elevation to…

A: Height of the bulding is

Q: On a recent bike ride, Juliana saw a tall flagpole and its 35 ft. long shadow. The angle of…

A:

Q: 75 feet The angle of depression from the top of a flag pole to a point on the ground is 30°. If the…

A:

Q: At a certain time, a vertical pole 10 feet tall casts a 14-foot shadow. What is the angle of…

A: A triangle is a polygon having three sides and three vertices. Sum of interior angles of triangle is…

Q: surveyor measures the height of an ad billboard on a skyscraper by walking 45 ft. away from the…

A:

Q: The captain of a ship at sea sights a lighthouse which is 240 feet tall. The captain measures the…

A: The height of the lighthouse, h = 240 ft Angle of elevation to the top of the lighthouse, θ=19° To…

Q: A tower is 79 meters high. At a bench, an observer notices the angle of elevation to the top of the…

A: A tower is 79 meters high. At a bench, an observer notices the angle of elevation to the top of the…

Q: An airplane climbs at an angle of 32° with the ground. What is the distance it has traveled in the…

A:

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

A:

Q: A group of campers hike down a steep path. One member of the group has an altimeter on his watch to…

A: Draw a triangle that represents the scenario.

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: Find the angle of elevation of the sun from the ground to the top of a tree when a tree that is 10…

A: We can use the trigonometrical ratio in order to solve the given problem.

Q: While sailing toward a​ statue, a sailor in a boat observed that at a certain​ point, the angle of…

A: A sailor in a boat observed that at a certain​ point, the angle of elevation of the tip of the torch…

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: 3. Bob is looking at a helicopter that is flying 1,000 feet above the ground. Bob is 1,500 feet from…

A:

Q: Ahelicopter hovers 975 feet above a small island. The figure shows that the angle of depression from…

A: detailed solution is given below

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

A:

Q: _4. From the top of a lighthouse 210 feet high, the angle of depression of a boat is 27°. Find the…

A:

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

A:

Q: er that is 132 feet tall casts a shadow 135 feet long. Find the angle of elevation of the sun to the…

A: We have to find angle of elevation

Q: Rachel is standing at the base of a mountain. The angle of elevation to the top of the mountain is…

A: We can easily find the straight-line distance from Rachel to the top of mountain by using basic…

Q: building that is 280 feet tall casts a shadow 40 feet long. What is the angle of elevation of the…

A:

Q: A surveyor is standing 118 feet from the base of the Washington Monument. The surveyor measures the…

A: tan∅=h/base of the mounment. tan78=h/118

Q: The angle of elevation from a boat to the top of a lighthouse is 25°. The lighthouse is 150 feet…

A:

Q: (c) Name the reference angle in both degrees and radians. (405 degrees

A:

Q: The angle of depression from the light at the top of a lighthouse to a ship at sea 2.5km from the…

A: Given:  The angle of depression from the light at the top of a lighthouse to a ship at sea 2.5km…

Q: Ali sees a rocket at an angle of elevation of 11°. If A located 500 meters from the rocket's…

A: We know that in right angle triangle tanθ=altitudebase…

Q: While sailing toward a​ statue, a sailor in a boat observed that at a certain​ point, the angle of…

A: Let’s draw a figure for the given situation. Let AB be the height of the statue, C is the initial…

Q: _3. At a point on the ground 50 feet from the foot of a tree, the angle of elevation to the top of…

A:

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.