# Trigonometry

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.

283Â° degrees

9. What is Heron's Formula? What is it used for?

10. Simplify sqrt(-9) times sqrt(-16)

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#### Solution Preview

1. Find B to the nearest degree in triangle ABC given A = 34 degrees, b=7.0 and a = 11.

a^2 =b^2 + c^2 -2bc*cosA => c=16.08

b^2 =a^2 + c^2 -2ac*cosB => B=54 degree

2. How do you convert from degrees to radians. Explain and provide an example with 283 degrees.

One complete circle is 360 in degree while it is 2π in radian. Therefore, degree/360 = radian/2π

=>(283/360)* 2π=6.84

3. The hypotenuse of a 30-60-90 triangle is 10. Find the ...

#### Solution Summary

There are several trigonometry questions involving hypotenuse and perimeter, Heron's formula, area, degrees of a triangle, and conversion between degrees and radians.