PLEASE HELP WITH A FEW QUESTIONS

Question

triangle ABC has side lengths 8, 15, and 17 do the side lengths form a pythagorean triple?

the length of the hypotenuse of a 30-60-90 triangle is 7 find perimeter

to approach the runway, a pilot of a small plane must begin a 10descent starting from a height of 1,790 feet above the ground to the nearest tenth of a mile how many miles from the runaway is the airplane at the start of this approach
my answer 0.3mi

a glider lands 18miles west and 5 miles south from where it took off the result of the trip can be described by the vector(-18,-5)use distance(magnitude)and direction to describe this vector a second way.
i know it's south of west but not sure of the miles

Answer 1

1. a = 8.
b = 15
c = 17.

c^2 = 17^2 = 289.
a^2 + b^2 = 64 + 225 = 289 = c^2.
Answer: Yes.

2. Z = 7 = hyp.
X = 7*cos30 = 6.06 = hor. side.
Y = 7*sin30 = 3.5 = ver. side.
P = 7 + 6.06 + 3.5 = 16.56.

3. We form a rt triangle:
X = -18 Miles = Hor. side.
Y = -5 Miles = Ver. side.
Z = Hyp.

tanAr = Y/X = -5 / -18 = 0.27777.
Ar = 15.5 Deg. = Reference angle.
A = 180 + 15.5 = 195.5 Deg., CCW.
Z = X/cosA = -18 / cos195.5=18.7 Miles
= Magnitude.
Direction = 195.5 Deg. CCW = 15.5 Deg.
South of west.

Answer 2

stoopid

Answer 3

Its crazy how this was question 10 years ago these dudes are probably fathers now

Answer 4

ikr

Answer 5

what is the answer to this question?

Answer 6

Sorry, which question are you referring to? Please provide more information.