A man falling vertically by parachute in a steady downpour of rain ob- serves that when his speed is V the rain appears to make angle a with the upward vertical. When his speed is V2(V2 > Vi) the rain appears to make angle B with the upward vertical. Show that the rain actually falls at an angle 0 with the vertical given by (V2 – V1) cot 0 = V2 cot a - V cot 3.

Q: 2) While travelling across flat land, you notice a mountain directly in front of you. Its angle of…

A: Here we use the concept of trigonometric ratio

Q: flag staff 25 feet high stands on the top of a house. From a point on the plane on which the house…

A: Let x be the height of the house In triangle ABC,  angle is 45 degree. So it is an isosceles…

Q: Consider a small boat crossing a river.  The boat's velocity is 5km/h due north and the water has a…

A: Velocity of boat = 5 Km/h   (north)Velocity of current = 2km/h  (west) The resultant velocity…

Q: A cruise missile is traveling straight across the desert at 543 mph at an altitude of 1 mile. A gun…

A:

Q: A ramp 16 ft long rises to a platform that is 13 ft off the ground. Find x, the angle of elevation…

A: We have to find x

Q: A helicopter hovers at an altitude that is 1000 feet above a mountain peak at an altitude of 5,210…

A:

Q: Two airplanes leave an airport at the same time on different runways. The first plane, flying on a…

A:

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

A: Distance between to mileposts = 4.5 km  Angle of depressions for mileposts are 28° and 52°.

Q: A Kite is flying 115 feet above the ground. The length of the string to the kite is 150 feet…

A:

Q: 320 48° 5 mi B

A: Label the figure and assume the distance of the plane from point A be AD, the height of the plane be…

Q: You are sitting in a classroom next to the wall looking at the black- board at the front of the…

A: Consider the given diagram of the right triangle and label it.

Q: Please help!

A: Let the position of person be M and height of statue is AB, It is given MC=50 mAngle of elevation is…

Q: Two statues lie on a horizontal line directly south of the building 35-m high. The angle of…

A:

Q: Kaila is flying a kite whose string is making a 70 degree angle with the ground the kite string is…

A:

Q: A mountain climber wants to determine the height, MN, of a mountain. He uses a theodolite…

A:

Q: A flagpole, which is 34 ft high, stands on top of a tower, which is 30 ft high. From a certain point…

A: Consider the figure shown below:  Angles and Vertices are marked as shown in the figure. Let the…

Q: 16.) A tree stands on a hillside of slope 28° from the horizontal. From a point 75 feet down the…

A: As we know that; The sine rule; asinA=bsinB=csinC   From the given figure; Let the height of the…

Q: Two ships leave a harbor entrance at the same time. The first ship is traveling at a constant 12…

A: Two ships leave a harbor entrance at the same time. The first ship is traveling at a constant 12…

Q: The bottom of the ladder is 13 feet from a wall and the top of the ladder touches the wall 8 feet…

A: Form the right triangle from the given situation than use the trigonometric ratio.

Q: An airplane is approaching point A along a straight line and at a constant altitude (h). At 10:00am,…

A: We will use trigonometry to find height of airplane

Q: Two ladders of length a lean agains opposite walls of an alley with their feet touching. One ladder…

A: The problem can be depicted as shown below,

Q: A plane took off from a field and rose at an angle of 8° with the horizontal ground. As the plane…

A:

Q: Leonard is parasailing in the Caribbean while on vacation. He is exactly halfway between two small…

A:

Q: Sittingin a fierd I see on an angle of elevation of 48T, a Blue Bird Sitting on none other than…

A:

Q: 16. Two residential buildings are to be constructed with a grassy recreational area between them.…

A:

Q: find a number w such that the line through the origin that contains the point (7,w) makes a 15°…

A:

Q: Two hikers are at opposite sides of a mountain, ready to begin their hike. The height of the…

A:

Q: The angles of elevation to an airplane from two polnts A and B on level ground are 56° and 72°,…

A:

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

A: Here we have to find the height and distance of plane from point A. The solution is following.

Q: A pilot flying a helicopter locates a person on the ground. The horizontal distance from the person…

A:

Q: high wishes to estimate the width of the pile. He visually locates two rocks the ground below, at…

A: Angle of depression= 3°5'   Vertical height= 3000feet  Find horizontal distance.

Q: Two trees are standing on flat ground. The angle of elevation of their tops from a point X on the…

A:

Q: A tunnel for hydroelectric power is to be constructed through a mountain from one reservoir to…

A: Here, we are solving the first question and for the 2nd question post the question again.   Given, A…

Q: A fire chief in a helicopter is flying directly towards two fires, one of which is further away but…

A: Explanation and solutions is given below....

Q: Two planes take off at the same time for a military base. One is travelling at 840 km per hour, the…

A: In the question we have to find the distance between the two planes at 20 minutes of time.

Q: Simon is standing on the street corner. Simon's eyes are 6 feet off of the ground. He is looking…

A:

Q: A plane hillside is inclined at an angle of 28° with the horizontal. A man wearing skis can climb…

A: Given: Since, A plane hillside is inclined at an angle with horizontal is  28°. A plane of path 1…

Q: Prakash is on a hiking trip. On the first section of the hike, he walks 5 km from the Hawk Campsite…

A: Given that Prakash walks 5 km from Hawk campsite(A) to the Condor Campsite(B).  Then, he turns and…

Q: A flagstaff stands on the top of a house 15 m high. From a point on the plane on which thee house…

A: The detailed solution of the problem is given in the next step.

Q: Rapunzel's Tower is 150 meter high and is located at the top of Tabatha hill. The angle between the…

A: Solution of the problem as follows

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

A: Please refer the attached image for complete solution.

Q: 1. Jessie is building a ramp for loading motorcycles onto a trailer. The trailer is 2.8 feet off of…

A:

Q: 5. Johnny and Bobby are standing on opposite ends of a 120ft boat. Both spot a buoy between them out…

A: To find the distance between Johnny and buoy

Q: A car is traveling on a road that goes up a hill. The hill has an angle of 17° relative to…

A:

Q: baseball player hits a ball into the air with an initial velocity of 95 mph at an angle of 25° from…

A:

Q: Three Concrete Slabs. Suppose there are three concrete rectangular slabs standing or resting on…

A: Given-  To find-  The height of slab 2 and the length of slab 3. Concept Used- Using proper…

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: Clay pigeons are released at an angle of 30° with the horizontal. Massimo hits one of the clay…

A: Since the sum of all the angles of a triangle is 180°, therefore the remaining angle of the triangle…

Q: The angles of elevation to an airplane from two points A and B on level ground are 52° and 75°,…

A: To find the altitude of the plane for the given conditions.

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.