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# Trigonometry

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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 it used for?

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

https://brainmass.com/math/trigonometry/80000

#### 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 2&#960; in radian. Therefore, degree/360 = radian/2&#960;
=>(283/360)* 2&#960;=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.

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