ZA and ZB are vertical angles. If mZA = (3x - 9)° and mZB = (x + 3)°, then find the value of x.

Q: Two airplane leave an airport,and the angle between their flight paths is 40°. An hour later, one…

A: Here we have to find the distance between 2 planes by using law of cosines.

Q: Indicate whether the statement is true or false. Where x is the measure of an angle and 0° < x <…

A:

Q: If A (-2, 1), B (2, 3) and C (-2, -4) are three points, find the angle between the straight lines AB…

A:

Q: DETERMINE THE ANGLE RELATIONSHIP. THEN USE IT TO FIND THE VALUE OF x. 2x 38

A:

Q: A man in a balloon observes two points, A and B, on the horizontal plane. The angle of depression is…

A: The sketch of the given problem is shown below, From triangle DAC,

Q: water sprinkler sprays water over a dentist of 45 feet while rotating through an angle of 140. What…

A: Given,  R= 45 ft Angle = 140°            = 7π/9 (in radian)    Bow,  Area of sector =…

Q: Two scuba divers are 20m apart below the surface of the water. They both spot a shark that is below…

A:

Q: The lengths of the diagonals of a parallelogram are 20 inches and 30 inches. The diagonals intersect…

A: Given that, the lengths of the diagonals of a parallelogram are 20 inches and 30 inches and the…

Q: A plane fying at a height of 3000 feet above ground passes vertically above a helicopter at an…

A: Given: From the figure drawn: Point P represents position of plane. Height of the plane above ground…

Q: In building a tent, Jada ties a rope from the top of a pole 3 meters high to a stake that is 4…

A:

Q: n a large theatre, the stairs have an angle of elevation of 27°. How tall is the seat if the theatre…

A:

Q: At point A,the angle of elevation of a marathoner off to the sun is 75 degree. Find the distance…

A: Topic:- trigonometry

Q: Two scuba divers are 20m apart below the surface of the water. They both spot a sea turtle that is…

A: Let BC=Distance from diver 1 to diver 2           =20m

Q: ana and rico are setting up decorations for their school dance. Rico is standing 5th directly in…

A:

Q: A camera is mounted on a tripod 5 feet high at a distance of 10 feet from George, who is 6 feet…

A:

Q: The elevation angle of the artificial earth satellite is measured by two ground stations located on…

A:

Q: Find the slope of the other line, if the angle between two lines is 60 o and slope of one of the…

A:

Q: From the top and bottom of a 56ft light house, the angle of depression of a ship are 41degrees and…

A: We have to find the height of the lighthouse above sea level.

Q: A certain angle has a supplement 3 times its complement. What is the angle?

A: let us consider two angles A and B A and B are supplementary of each other if A + B = 180 A and B…

Q: : Find the angle between the lines whose direction cosines satisfy the equations 1+m +n=0,1 + m² -n…

A:

Q: A surfer is riding a 7 foot Wave. The angle of depressfon from the surfer to the shorellne Is 10.…

A: To determine the distance of the surfer from the shoreline.

Q: A point on the edge of a symmetrical canyon is 4500 ft above a river that cuts through The canyon…

A:

Q: stellas Friends got her sky diving lessons for a birthday took off from the skydiver center…

A: According to the given information, Assume A represents sky diving center. AC represents distance…

Q: Indicate whether the statement is true or false. If ∠1 and ∠2 are vertical angles with m∠1 = 4x − 11…

A:

Q: A lifeguard is sitting on a platform. His eye level is 5 m above sea level. Martha and Sammy are…

A: Given query is to find the distance between Martha and Sammy.

Q: In building a tent, Jada ties a rope from the top of a pole 3 meters high to a stake that is 4…

A: Given that, in building a tent, Jada ties a rope from the top of a pole 3 meters high to a stake…

Q: The angle made by a straight line with the positive x-axis in the positive direction and the…

A:

Q: Tell whether the angles are complementary or supplementary. Then find the value of x. (4x + 10) to

A: When two angle are supplementary, then their sum is 180 degrees.

Q: a girl 1.2m tall is 25m away from a tower 18m high.what is the angle of elevation of the top of a…

A:

Q: 3. Two people spot an airplane in the sky between them at angles of elevation of 42° and 57°…

A: Solution

Q: A kite is stuck in a tree and Joe is holding the string. The angle formed between the kite string…

A: This question is about application of trigonometry identities.

Q: A camera is mounted on a tripod 4 feet high at a distance of 9 feet from George, who is 5 feet tall.…

A: Given that a camera is mounted on a tripod 4 feet high at a distance of 9 feet from George. The…

Q: and

A:

Q: Find either angle betweer by the the Lines described following +2 and -3x-y-4=0

A:

Q: Iron Man and Thor are going to watch a movie with Captain America. Iron Man flies from his house to…

A: According to the given data, the diagram for the situation can be given as: Here, distance ID is to…

Q: Tom, Dick, and Harry are camping in their tents. If the distance between Tom and Dick is 153 feet,…

A: Let us denote Tom as A, Dick as B, and Harry as C. As per the question, c=AB=153 feet, b=AC=201…

Q: Angles c and e are ....... because the same side interior angles

A: Given,

Q: An airplane is flying in a straight line towards an airfield at a fixed altitude. At one point the…

A: Given: From the given information we make diagram. WE need find the distance between airfield and…

Q: A pilot is flying over a straight highway. He determines the angles of depression to two mileposts…

A:

Q: picture of a 4 feet vase standing on a 3 feet pedestal. She wants to position the camera at point c…

A: To find the distance between camera and foot of pedestal.

Q: Softball Diamond In softball, the distance from home plate to first base is 60 feet, as is the…

A: Given: Softball Diamond In softball, the distance from home plate to first base is 60 feet, as is…

Q: Find one positive and one negative angle coterminal with an angle of 6 -21x 7a. -11z 6

A:

Q: If an x coordinate is positive, you move to the v, If it is negative, you move to the 1

A:

Q: Use the figure, which shows two lines whose equations are  y1 = m1x + b1  and  y2 = m2x + b2.…

A: given  y1=m1x+b1y2=m2x+b2

Q: The airline distance from Minneapolis to Chicago is 347 miles. It is 700 miles from Minneapolis to…

A:

Q: farmer has 8 km of fencing wire, and wishes to fence a rectangular piece of land. One boundary of…

A: Definition used-                The perimeter of rectangle P= 2(l+w)                 The area 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.