Thread: Need help with a few easy calculus problems

I have to submit this HW in under 30 minutes. I appreciate any help anyone can give me. Thank you so much!

1) John (whose line of sight is 6 ft above horizontal) is trying to estimate the height of a tall oak tree. He first measures the angle of elevation from where he is standing at 35 degrees. He walks 30 ft closer to the tree and finds that the angle of elevation has increased by 12 degrees. Estimate the height of the tree rounded to nearest whole number

A) 90ft B) 67ft C) 61 ft D)86 ft




2)





3) Match the point in polar coordinates with either A(Quadrant 1) B (Quadrant 2) C( Quadrant 3) D(Quadrant 4)

(-3,-5pi/3)



4) Two sides and angle are given. Determine wheter the info is one triangle, 2 triangles or no triangle.

a=7, b=9, B=49 degrees

A) Two triangles
B) one triangle (A=76.01, C=54.99, c=7.60)
C) One triangle (A=35.94, C=95.06, c=11.88)
D) no triangle




5)


Pretty sure its A, but I want to double check





6) Does the complex fourth roots of -16 start with

A) 2(cos 90 + i sin 90)
B) 2 (cos 45+i sin 45)
C) 16(cos 45+i sin 45)
D) 4th root of 2(cos 45+i sin 45)

Pretty sure its B, but I want to double check




7) r=6+2 sin theta; the line theta = pi/2

A) Symetric with respect to line
B) may or may not be symmetric with respect to line

Pretty sures its B, just want to make sure