An airplane takes off 200 yards in front of a 60 foot building. At what angle of elevation must the plane take off in order to avoid crashing into the building? Assume that the airplane flies in a straight line and the angle of elevation remains constant until the airplane flies over the building.

Q: Two helicopters leave a heliport at the same time. The first flies 190⁢km/h in a direction of 290…

A: The distance between the two helicopters after three hours is 369 kilometersExplanation:Step 1:…

Q: A pilot flies in a straight path for 1 hour 15 minutes. She then makes a course correction, heading…

A: Distance travelled = Speed * Time of travel

Q: You shoot a rocket with an angle of elevation of 60 degrees. If the rocket flies straight at 90…

A:

Q: A man lies 18 horizontal feet from the base of a wall. He must incline his eyes at an angle of 21…

A: It is given that,  A man lies 18 horizontal feet from the base of a wall. He must incline his eyes…

Q: Mo is on a baseball team and hears that a ball thrown at a 44 degree angle from the ground will…

A: Given, Mo is on a baseball team and hears that a ball thrown at a 44 degree angle from the ground…

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

A:

Q: A fisherman is 7 miles west and 3 miles north of the marina. To head directly back to the marina,…

A: using pythagorous theoremAM2=AB2+BM2

Q: From the top of a bridge over the Burlington Canal, Maria looks down at a sailboat at an angle of…

A: Here we have to use the concept of trigonometry

Q: A plane flies 700 miles from Atlanta to Philadelphia with a bearing of 55 degrees. Then it flies 340…

A:

Q: Please help find the point of intersection and the angle between the lines y = x + 3 and y = 2x + 1.

A:

Q: air traffic controller needs to calculate the height of an incoming jet. The jet's angle of…

A: Given that:The angle of elevation is 28° and the horizontal distance is 140 km.To find: The height…

Q: Two aeroplanes are departing from an airport. They are flying in a straight line where their flight…

A: Tow airplanes are departing from an airport. They are flying in a straight line where their flight…

Q: Find the length of the transverse axis if the length of the semi-transverse axis is 55.

A: This question can be solved if we know the relation between transverse axis and semi transverse…

Q: An airplane is heading north at an airspeed of 800 km/hr, but there is a wind blowing from the…

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.