A line passing through the origin and the point P = (19, b) forms the angle 0 = 65° with the x-axis. Find the missing coordinate of P. Round your answer to three decimal places. b =

Q: A plane at an elevation of 5.5 km, approaches the airport at an angle of depression of 30°. А 30°…

A: Use the appropriate trigonometric ratio and find out the x.

Q: A geologist wants to measure the diameter of a crater. From her camp, it is 5 miles to the…

A:

Q: A 15-ft ladder is propped against a vertical wall and makes a 72 angle with the ground. How far is…

A: The given setup can be represented by the following figure:     For this right angled triangle, to…

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: An aircraft (at Z) is spotted by two observers (at X and Y) who are L= 2000 feet apart. As the…

A: ccording to question given thatL=2000 feetA=50°B=45°

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

A: We use Trigonometry ratios

Q: Find the acute angle between the lines. Round your answer to the nearest degree. 7x - y= 4, 5x + y =…

A:

Q: The final approach of an airplane when landing requires an angle of descent of about 5∘. If the…

A:

Q: A communications tower is located at the top of a steep hill, as shown. The angle of inclination of…

A:

Q: Find the approximate value of the smaller angle formed between the liney = of the x-axis. Give the…

A: here we have to find the smaller angle formed between the line y=712x and the positive pat of the…

Q: A funicular carries passengers up an embankment to an observation point. If the length of the track…

A: You have posted multiple questions as per our guidelines we are supposed to answer only one…

Q: The tangent of an obtuse angle is –7/18 Calculate the cosine of this angle to 4 decimal places.

A:

Q: When an airplane is descending to land, the angle of depression is 5°. When the plane has a reading…

A: We have to find the value of x.

Q: What is the compass bearing of point A from 0?

A: Given

Q: Find the acute angle between the lines. Round your answer to the nearest degree. 6x - y = 2, 4x + y…

A: To find the acute angle between the given lines.

Q: A communications tower is located at the top of a steep hill, as shown. The angle of inclination of…

A: From ∆BADtan87=BDADAD=0.052BD..............(1)Now,From ∆ACDtan76=CDADAD=0.25CD........(2)since,…

Q: direction cosines

A:

Q: A communications tower is located at the top of a steep hill, as shown. The angle of inclination of…

A:

Q: 23. The angle between the bottom of a fence and the top of a tree is 75". The tree is 4 feet from…

A: Given, theta = 75° adjacent= 4 feet Opposite= height of the tree= h

Q: At as distance "X" ft. away from the base of a hill, Mr. Somebody noted that the angle of elevation…

A: We will solve the following

Q: Find the tangent of angle © in the triangle below. 7 7

A:

Q: From the top of a 215-meter-tall building, an observer measures the angle of depression of a bicycle…

A: Use trigonometric ratio to solve it.

Q: The horizontal distance of the ramp is 8.3 feet and the vertical height of the ramp is 6.6 feet.…

A: Given: Horizontal =8.3 feet Vertical =6.6 feet To find: Angle of inclination=??

Q: 7. At a considerable distance away from the base of a cliff, a surveyor founds the angle of…

A:

Q: Find the coordinates of the point on the unit circle at an angle of 3π/4

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: A communications tower is located at the top of a steep hill, as shown. The angle of inclination of…

A: This question is about application of derivative of trigonometry

Q: A communications tower is located at the top of a steep hill, as shown. The angle of inclination of…

A:

Q: 5. From the top a 18.2 m cliff, the angle of depression of a floating buoy is 26°. Determine,…

A:

Q: Find the acute angle between the lines. Round your answer to the nearest degree. 8х — у %3D 3, Зх +…

A: The angle between the two lines

Q: The farthest distance a satellite signal can directly reach is the length of the segment tangent to…

A:

Q: A plane at an elevation of 5.5 km, approaches the airport at an angle of depression of 30°. A 30°…

A:

Q: A communications tower is located at the top of a steep hill, as shown. The angle of inclination of…

A: Given : The angle of inclination of the hill = 67° A guy wire is to be attached to the top of the…

Q: A helicopter is hovering 500 feet over point Q on an island. The pilot sights point P on the coast…

A: To find the distance between Point Q to P

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

A: Solve for both parts

Q: On a bike ride you come to a hill that has a grade of 5%. To the nearest degree, what is the angle…

A: Slope of the hill = tanƟ = 5% = 5 / 100 = 0.05 where Ɵ is  the angle this hill makes with a…

Q: A straight kite string makes an angle of 40° with the ground, as shown in the diagram. If y = 200…

A: Given: A straight kite string makes an angle of 40° with the ground also 200 feet string has been…

Q: Determine the angle of inclination of the line. Express the answer in both radians and degrees. y =…

A: We have to find

Q: From the top of a 200 meters high building, the angle of depression to the bottom of a second…

A: Given- From the top of 200 m high building, the angle of depression to the bottom of a second high…

Q: A ladder is leaning against a 3 m tall building at an angle of elevation of 46°. Determine the…

A:

Q: Find the point on the Unit Circle associated with the angle 5 / 3 Select one: O a. (-1/2, √3/2) O b.…

A:

Q: Find the approximate value of the smaller angle formed between the line y = I and the 12 %3D of the…

A: We have to find the value of smaller angle formed between the line y=712x and positive part of…

Q: Find the acute angle between the lines. Round your answer to the nearest degree. 9x − y = 4, 2x…

A: We have to find the  acute angle between the lines 9x-y=4,2x+y=6

Q: When her airplane is descending to land, the pilot notes an angle of depression of 5°. If the…

A:

Q: Find the acute angle between the lines. Round your answer to the nearest degree. 5x − y = 2,    7x +…

A: The given lines are: 5x-y=2y=5x-2      .....17x+y=6y=-7x+6    .....2  To find the acute angle…

Q: From point P on the ground, the angle of elevation of an airplane is 23°. The altitude of the plane…

A: Q 6   Given that:   A point “P” on the ground, the angle of elevation of an airplane is 23 degree…

Q: Two kids, Albert and Bhara, are 20.0 m apart. Albert sees a soccer ball 25.0 m away. If the angle…

A:

Q: Find the coordinates of the point on the unit circle at an angle of 6.

A: Given angle is The coordinates of the point on the unit circle is in the form of  (x,y) The…

Q: A communications tower is located at the top of a steep hill, as shown. The angle of inclination of…

A: Given :-  A communication tower is located at the top of a steep hill. The angle of inclination of…

Q: From the top of a 45-m high building, an observer sees a car heading toward the building at an angle…

A: AB = height of the building = 45 m   The first angle of depression, ∠EAC =∠ACB = 15°   As the car…

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.