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Two boats 1200 feet apart measures an angle of elevation of 35 degree and 42 degree to the top of a lighthouse. how tall is the lighthouse?


Solve the following spherical triangle using Law of Sine and Cosine

A= 137°28´, C=135°44´, c= 160° Find : a


If cos(𝜃 ) = 3/5 and tan( 𝜃 ) < 0 , find the exact value of each of the remaining trigonometric functions of 𝜃


Solve the spherical triangle right angled C given a= 23° 10' and c = 25° 12'


Solve the spherical triangle ABC right angled C given c= 56° 13' and b = 48°30'


1.If sin = 12, and is in QI, find sec data .



2.Given cos =35 , is in QIV, find csc data.


3.Find the exact values of the circular functions whose =-3π/4.


Solve the triangle.

A = 21°, C = 105 °, c = 5


an airplane is flying at an altitude of 6000m over the ocean directly toward a coastline. at a certain time the angle of depression to the coastline from the airplane is 14 degrees. how much farther does the airplane have to fly before it is directly over the coastline


  1. Find the measure, to the nearest degree, of the acute central angle in the figure below.

(The radius is 21 and the arc length is 18.)


2 Explain what would happen to the measure of the central angle in the figure aboce if the radius were doubled (and the arc length remained unchanged).




5. Water is flowing downhill at 15.0m/s through a pipe that is at an angle of 75o with the horizontal. What are the components of its velocity?


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