. A mountain has a base and peak that are inaccessible. At point A, the angle of elevation of the peak is 30°. One kilometer closer to the mountain, at point C, the angle of elevation of 34°. Find the height PB of the mounta

Q: 3. A sailor is looking at a kite. If he is looking at the kite at an angle of elevation of 36° and…

A: From Given,

Q: Two buildings of equal height are 800 feet apart. An observer on the street between the buildings…

A:

Q: 2. From a point A on level ground, the angles of elevation of the top D and bottom B of a flagpole…

A: The objective of the question is determine the height of the hill.

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: 45. The angles of elevation to a balloon in the air from two points on level ground are 27 and 45°.…

A:

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

A:

Q: A blimp, suspended in the air at a height of 400 feet, lies directly over a line from a sports…

A:

Q: surveyor wants to find the height of an inaccessible cliff so she takes measurements at point A,…

A:

Q: 2. A missile that was launch has 280 angle of depression from the point of launch and was known to…

A: Given: The angle of depression of missile is 28°. The distance of missile from the ground is, h=12…

Q: 5) The initial approach point to runway 15 into Martin State Airport is 2.5 miles (1 mile = 5,280…

A:

Q: 2. A surveyor uses a transit instrument that is 1.4 m off of the ground to measure the height of a…

A:

Q: 2. A girl 1.75m tall, standing on the roof of BHS principal's office, sees a car some distance away.…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

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: 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: A student is standing on a 27 m diving platform from the ground. On the ground, their coach is on…

A: Ans =52.1999 m  For detail....go through the solution

Q: 15. The angle of elevation from a viewer to the center of a fireworks display is 55°. If the viewer…

A:

Q: 4. A tree on a hillside casts a shadow 215 feet down the hillL. If the angle of inclination of the…

A:

Q: 7. While parasailing, Ryan spots a dolphin on the water below. If Ryan is 228 feet above the water…

A:

Q: 1. A tower 140 ft high stands on the water edge of a lake. From the top of the tower, the angle of…

A: Please refer the attached image for complete solution. THANK YOU.

Q: 2. Sketch a diagram of any angle in standard position terminating in quadrant II, that has the point…

A: Let's find.

Q: 15. A hot-air balloon is seen over Tucson, Arizona, simultaneously by two observers, at points A and…

A: let A and B represents two observersand C represents the ballonWe need to find CD

Q: Find the measures of the angles formed by (a) two consecutive radii and (b) a radius and a side of a…

A: We have to find the measures of the angles formed by two consecutive radii and a radius and a side…

Q: 3. A small private airfield is built such that the longest runway faces north toward a bank of…

A:

Q: 8. From an airplane which is flying at an altitude of 3000 feet, the angle of depression of an…

A: Given that Altitude of an aeroplane is 3000 feet  The angle of depression of an airport ground…

Q: 1) Suppose the length of the skateboard ramp is 20 feet. The angle of the ramp with the ground is…

A: Since you have asked multiple question,as per our guidelines we are supposed to answer only one…

Q: bint C is due east of B and 300 m distance apart. A tower not in line with B and C was observed at B…

A:

Q: The angle between the tangents to a circle from a point P is 48.5°. The radius of the circle is 10…

A: Topic- circle and it's properties

Q: From one point A, the angle of elevation of the top of a tall building CD is 12°. From another point…

A:

Q: Read problem, then solve for the missing part(s).

A: Consider the diagram for the triangle.Let side made by trumpet players be T, clarinet players be C…

Q: 4. A security camera is to be mounted on the wall of the downtown Bank of America so as to have a…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: 12) The angle of elevation to the top of empire state building is found to be 60° from the ground at…

A:

Q: 5. A farmer has a triangular field. From one corner of the field, it is 435 m to the second corner…

A: we use cosine law

Q: 1. The angle of depression of a buoy from the top of a light house 130 feet above the surface of the…

A:

Q: Please help me salve

A:

Q: A. A ladder 16 m long is placed against a wall so as to reach a mural painting ledge 12 m above the…

A: We have to find the distance of the ladder. This problem can be solved by using trigonometric…

Q: The angle of elevation from a point on the ground to the top of a pyramid is 35.5°. The angle of…

A:

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

A: Here we use sine rule to solve the given problem

Q: 1. The angle of elevation to the top of the Empire State Building in New York is found to be 11°…

A:

Q: 1. An airplane takes off on a runway that is 1,800 feet from a building 220 feet tall. What is the…

A: Given that an airplanes takes off on a runway that is 1,800 feet from a building 220 feet tall. To…

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

A:

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

A:

Q: 1. The bases on a baseball diamond are 27.4 m apart. The pitcher pitches, and the batter hits a fly…

A:

Q: 2. The angle of elevation of the sun is 42°, what is the length of the shadow on the level ground of…

A: ffggg

Q: In order to safely land, the angle that a plane approaches the runway should be no more than 15°. A…

A: Given, In order to safely land, the angle that a plane approaches the runway should be no more than…

Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations 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: 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: 2. A shopper is standing on level ground 800 feet from the base of a 250 foot tall department store.…

A: A shopper is standing on level ground 800 feet from the base of a 250 foot tall department store.

Q: 6. In order to meet safety guidelines, a roof contractor must place the base of the ladder at a…

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.