6. In order to estimate the height of a volcano, a surveyor takes readings from two different locations 900 feet apart. The angles of elevation are 35° and 47°. Find the height of the volcano. 35° 47°

Q: The angle of elevation of a pedestrian crosswalk over a busy highway is 9.34°​,as shown in the…

A: The solution is:

Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

A: The given figure is: You know the exterior angle of a triangle is equal to the sum of two interior…

Q: 2. From the top of the control tower 250 m tall, a rock is sighted on the ground below. If the rock…

A: Given, h=250 and l=170.

Q: A surveyor sights two signs and the angle between the two lines of sight measures 80°. If the first…

A: Given that the angle between the two lines of signs is 80∘. The first and the second signs are 70 m…

Q: A tunnel is planned through a mountain to connect points A and B on two existing roads. If the the…

A:

Q: 3) An airplane is sighted at the same time by two ground observers who are 5 miles apart 3 and both…

A: Consider the larger base is x miles to the west of a point down the plane and the observer is 5…

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

A: Here we will find the length of the lake between A and C,

Q: 4. When the kite is 120 ft high, it makes an angle of 40° with the level ground. How long is the…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A railroad track has an angle of elevation of 1.0°. What is the difference in height (in feet) of…

A:

Q: A person observes that from point A, the angle of elevation to the top of a cliff at D is 30°.…

A: GIVEN  HEIGHT OF CLIFF , DC=80m

Q: 4. A man whose eye is 1.5 m. above his sole stands on a 48.5 m. high building. The angle of…

A: The height of the man is 1.5 m and he is standing on a building whose height is 48.5 m. So, the…

Q: A triangular plot of land is enclosed by a fence. One side of the fence is 45.3 m long and an…

A:

Q: 1. From the top of a 163-ft lighthouse, the angle of depression to a ship in the ocean is 27°. How…

A: From the top of a 163-ft lighthouse, the angle of depression to a ship in the ocean is 27°.How far…

Q: what is the angle of elevation of the sun when a 47 ft mast casts a 32 ft shadow

A:

Q: Homework Conformation.

A:

Q: 1. To determine the height of a tree, a person stands 40 feet from the tree and finds that the angle…

A: As per the guidelines .i can solve only first question

Q: A surveyor determines that the angle of elevation to the top of a building from a point on the…

A: To solve the problem, we need to consider that two triangles are formed depending on the distance…

Q: A tree casts a shadow of 14.7 meters when the angle of elevation of the sun is 13.1 degrees. How…

A: A tree shadow of 14.7 meters  angleof elevation of the sun is 13.1 degrees. To find :- Height of a…

Q: 8. A boat traveled horizontally from the "Pier" at 512 km. and made a turn travelling 426 km. If the…

A:

Q: 17. To measure cloud height at night, a vertical bean of light is directed on a spot on the cloud.…

A: We have to find the height of cloud .

Q: 9. A radio tower 200 ft. high casts a shadow 75 ft. long. What is the angle of elevation of the sun?

A:

Q: observation tower is 75 m high. A support wire attached to the tower 20 m from the top. If the…

A: Given query is to find the length of the wire.

Q: 4. A farmer has a triangular field. From one corner of the field, it is 435 m to the second corner…

A:

Q: 1. Find the height of a tree if the angle of elevation of its top changes from 20° to 40° as the…

A:

Q: 16. If the angle of elevation of the sun is 60 15' when a building casts a shadow of 20 ft., what is…

A: Solution is given below:

Q: A building 210 feet tall casts a 50 feet shadow. If a person looks down from the top of the…

A:

Q: 2. The angle of depression of an object from 50 m vertical cliff is 39°. How far is the object from…

A:

Q: 2. A hot air balloon is kept at a constant altitude by two ropes anchored at two points on the…

A: Given:  A hot air balloon is kept at a constant altitude by two ropes anchored at two points on the…

Q: To estimate the height of a hill, the angle of elevation is measured at two points 480 m apart on a…

A:

Q: A tunnel is planned through a mountain to connect points A and B on two existing roads. If the the…

A:

Q: 1. Rana is at the top of a cliff and sees a seal in the water. If the cliff is 40 m above the water…

A:

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

A:

Q: 2. In an apartment building, a night light is mounted on a pole that is 7 m high. The night light…

A:

Q: 12. From point B, Bob uses a clinometer to determine the angle of elevation to the top of a cliff as…

A:

Q: 1. The angle of elevation to the top of a building from a point 100 m away from the building on…

A: topic - application of trigonometry

Q: 14. What is the angle of elevation, to the nearest tenth of a degree, to the top of a 35-foot…

A: tanθ=PB P is perpendicular and B is base of right angle triangle.

Q: 5. Find the measure of the angle of elevation of the sun when a boy 5 feet tall casts a shadow 5…

A: First draw the diagrams depicting the scenarios. Then, use the trigonometric ratios to find the…

Q: 23. As shown in the diagram below, a ship is heading directly toward a lighthouse whose beacon is…

A:

Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

A: Given that:

Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

A: Given that: Distance between the two stations =56 mi

Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

A: Given:    Angles : 83.2° and 86.4°     Distance = 55

Q: 4. A live oak tree casts a shadow 58 feet long, Find the height of the tree if the angle of…

A: Here is the solution:

Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

A:

Q: 1. Stephanie knows that when she stands 123 feet from the base of the flagpole the angle of…

A:

Q: 4. The angle of depression from the top of the castle to the boat is 25°. If the boat is 350 meter…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: To measure the height of President Abraham Lincoln's caricature on Mt. Rushmore, two sigħting 800 ft…

A:

Q: A tunnel is planned through a mountain to connect points A and B on two existing roads. If the the…

A:

Q: 14, A cell phone tower Is anchored by two cables on each slde for support. The cables stretch from…

A: Given : A cell phone tower is anchored by two cables on each side for support. The cables stretch…

Q: 9) (10pts) The angle of elevation to the top of a building from a point on the ground is 37°. If the…

A: This a basic question related to Theory of trignometry .It can be solved using simple formula of…

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.