Trigonometry Answers

An airplane sighted at the same time by two ground observers who are 5 miles apart and both directly west of the airplane. They report the angles of elevation as 13 degrees and 22 degrees. How high is the airplane?

1. Determine the general solution of the equation: 4sin² x - 3 = 0

A software designer is mapping the streets for a new racing game. All of the streets are depicted as either perpendicular or parallel lines. The equation of the lane passing through A and B is -7x + 3y = -21.5. What is the equation of the central street PQ?

from the top of an 80 ft building the angle of elevation of the top of the taller building is 49 degrees and the angle of depression of the base of this building is 62 determine the height of the taller building to the nearest foot

2 cos 30 degrees + cot 60 degrees

2 sin 45 degrees - csc 45 degrees

Two radar towers located 30 miles apart each detect an aircraft flying between them.

The angle of elevation measured by the first station is 32°. The angle measured by the second station is 18°.

Find the altitude of the aircraft.

By drawing a relevant triangle,prove that

tan θ = sin θ / cos θ

and

cos^2 θ + sin^2 θ = 1

Use spread sheet software to draw the graph of y = 5 sin (2x – 10)

for 0 ≤ x ≤ 180°.

Include your entire spreadsheet as an attachment to this assignment.

Determine the period and amplitude of the function y = 3cos x.

A ship, Albatross, leaves a port on a bearing of N520E traveling at a speed of 42 km/h.  A second ship, Bountiful, leaves the same port at the same time on a bearing of N240W traveling at a speed of 29 km/h.  After 3 hours, how far apart are the two ships?