Math

Test: Alalawi_Ahmed_MA111_LehrSpring2021_test2.txt Work the test on separate paper, scan work into PDF and load into canvas. Report answers on answer sheet attached. Email both files to lehrs@erau.edu do not use canvas email. Read the associated honor statement Q1. Examine the Right Triangle with Angles A, B, C, and associated sides lengths a, b, c B . /| / | c / | a / | / | /_____| A b C Given that side a = 4 and side b = 7 A. Determine the length of side c. B. Determine the value of the angle A. C. Set up the trigonometric ratio for the sine of angle A. -> sin A = ____ / ____ D. Set up the trigonometric ratio for the cosine of angle A. -> cos A = _____ / ______ E. Set up the trigonometric ratio for the tangent of angle A. -> tan A = _____ / ______ F. Determine Angle B in degrees G. Angle A and angle B are _________________ angles, they add up to 90 degrees. H. Convert angle A from degrees to radians I. Convert angle B from degrees to radians J. Given the prior answer of angle B in radians, compute angle B's supplementary angle also in radians. K. Recall the formula m = tan(theta), what is the slope of the line between point A and B? Q2. A weather balloon rises vertically at 95 ft/sec while the wind blows horizontally at 10 ft/sec. Find the magnitude and direction of the balloons resultant speed, round both to three decimals. Q3. An airplane takes off at a speed of 400 ft/sec. The angle of attack (angle made with the horizon) is 13.81 degrees. Find the x and y components of the velocity vector in ft/sec, round to three decimals. Q4. Convert the following angle from Degrees Minutes Seconds(DMS) to Decimal Degrees (DD). Convert: 25D 51M 18S (DMS - Degrees Minutes Seconds). Round to 4 decimal places.

Q5. For a circle of radius 42 feet, find the circumference of the circle and the arc length associated with a central angle of 21.691 degrees. Round answers to 3 decimal places. Q6. From the top of a light house 198 feet above sea level, the angle of depression to a small boat is 8.26 degrees. How far is the boat from the foot of the light house? Q7. Given the vector components <75, 63> Compute the vectors magnitude and direction. Q8. Add the following vectors together: 78 @ 28 deg, 190 @ 144 deg, 63 @ 208 deg. Compute the resultant vector's magnitude and direction. (use 3 decimals) Q9. I have read and understand and agree to the honor statement. (YES or NO).