Solve The Triangle
A right triangle has the sides: 5, 4, 3. Solve the triangle.
Side lengths: 5, 4, 3.
Angles: 90, 53.1, 36.9
Draw the bearing from point A to B: N40W
The bearing should be on the top left corner of the page, with the angle of 40 degrees from the positive Y axis.
Write out the Law of Sines
a/sinA = b/sinB = c/sinC
or sinA/a = sinB/b = sinC/c
A triangle ABC has A=35°, b= 10, and c=14. Solve the triangle
B=44.5°, C= 100.5°, and a=8.2
Mace Windu has a minecraft mace. Mace Windu uses a wind charge to jump up (N, assume up is North, down is South, left is West, and right is East.). After he jumps up 10 feet, he uses his jedi powers to change his direction N40E and moves another 15 feet. He then uses his powers once more to go back to his starting spot to hit a sith lord with his mace. What is the degree he turned in order to go back to his original spot in order to hit the sith lord?
Around 15.837 degrees.
A person is standing 150 feet away from a building. The angle of elevation to the top of the building is 42°. How tall is the building?
135ft
Triangle ABC has a = 7, b = 9, c = 12. What is angle C?
A ship leaves port and sails 40 km on a bearing of N 32° E. It then turns and sails 55 km due East. How far is the ship from port? Round to the nearest tenth.
d ≈ 87.1 km
If sin θ = 3/5 and θ is in Quadrant II, find cos θ and tan θ.
cos θ = −4/5, tan θ = −3/4
Triangle DEF has sides a = 13, b = 17, and angle C = 58. Solve the Triangle.
c = 14.95, A = 47.5 degrees, B = 74.5 degrees
Point A is 8 km from point B on a bearing of N30°E. Point A is also 6 km from point C on a bearing of S20°E. Find the distance BC
BC=12.7 km
Prove the identity by simplifying the left side: (1 − cos²θ)(1 + cot²θ) = 1
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