10 Trigonometry Problems

1. Find B to the nearest degree in triangle ABC given A = 34 degrees, b=7.0 and a = 11. 2. How do you convert from degrees to radians. Explain and provide an example with 283 degrees. 3. The hypotenuse of a 30-60-90 triangle is 10. Find the perimeter 4. Given C= 61 degrees, a=55, and b= 29, find the area of triangle, ABC. 5. Use Heron's Formula to find the area of a triangle with sides of 12, 22 and 18 inches. 6. Given vector u and v, where u=3i-5j and vector v = i-2j, find the resulting vector 2u-3v. 7. Find (2+3i)-(-5+8i) 8. Convert the measure from degrees to radians. Round to three decimal places. 283° degrees 9. What is Heron's Formula? What is i... click for more

Laws of sine

A ranger in fire tower A spots a fire at a direction of 295 degrees. A ranger in fire tower B, located 45 miles at a direction of 45 degrees from A, spots the same fire at direction of 255 degrees. How far from tower Ais the fire? From tower B?

Bearings

From fire tower A, a fire with bearing N 75° E is sighted. The same fire is sighted from tower B at N 49° W. Tower B is 55 miles east of tower A. How far is it from tower A to the fire?

Bearings

A boat leaves a port and sails 10 miles at a bearing of S 15° E. Another boat leaves the same port and sails 15 miles at a bearing of S 30° W. How far apart are the two boats at this point?

Simplifying the trigonometric expressions

a. tan(theta) / [1 - cos^2 (theta)] b. cos^2 x + cos^2 x cot^2 x c. (tan^2 x + 1) cos x