Solving General Triangles
In triangle ABC, find angle A if angle B = 95, b = 15.4, and a = 8.
31.2 degrees
In triangle ABC, angle A = 60, b = 10, angle = 90. Find c.
5
Find all values of A between 0 and 360 such that sin A = 0.4
23.6 and 156.4
Find all six trigonometric functions of an angle A, in standard position whose terminal side passes through (-√(3), 1).
sin A = 1/2 csc A = 2
cos A = -√(3)/2 sec A = -2√(3)/3
tan A = -√(3)/3 cot A = -√(3)
Wires of lengths 20m and 30m extends from the top of a tower to the ground on the same side of the tower. The shorter wire makes an angles of 42 degrees with the ground. What angles do the wires make with eachother?
15.5 degrees
Two planes leave the airport at noon, one traveling east at 300 km/h and the other traveling northwest at 450 km/h. How far apart are they at 2PM?
1390 km
Find all values of A between 0 and 360 such that cos A = - 0.3.
107.5, 252.5
Calculate sec 116.7 to 4 decimal places.
-2.226
In triangle ABC, angle B = 30, c = 20, and b = 15. Solve the triangle.
angle C = 41.8, angle A = 108.2, a = 28.5
OR
angle C = 138.2, angle A = 11.8, a =6.14
In triangle DEF, angle E = 90, e = 10, and d = 8. Find angle F.
36.9
Find all values between 0 and 360 such that tan A = -0.2.
348.7, 168.7
Find tan A if cos A = 8/17 and sin A > 0.
15/8
A large park in the shape of a parallelogram has diagonal paths that meet at a 60 degree angle. If the diagonal paths are 12 km and 20 km long, find the perimeter and area of the park.
perimeter = 45.4 km, area = 103. 8 km^2
The base angles of an isosceles trapezoid are 45 degrees and the bases have lengths 15 and 25 units. Find the height of the trapezoid.
5
Find all values of A between 0 and 360 such that cot A = -0.7046.
125.2, 305.2
Give the exact value of sin 300 (i.e. don't use a calculator).
-√(3)/2