<h2>
Answer:</h2><h2>The angle of depression from the hiker to his car,
Θ = 56.39 degrees</h2>
Step-by-step explanation:
A hiker at the top of a mountain spots his car back in the parking lot at the
bottom of the trail. If the trail is 632 meters long and the mountain is 420
meters tall,
opposite side = 632 m
adjacent side = 420 m
Angle of depression, Θ = arctan
= arctan
Θ = 56.39 degrees
Hi!
We will solve this using proportions. Let x be the cost for 12 ounces of cheese. We will start like this:
15 ounces : 6 $ = 12 ounces : x $
x $ = (6 $ * 12 ounces)/15 ounces
x $ = 72 $/15
x = 4,8$
The cost of 12 ounces of cheese is 4,8$.
Hope this helps!
Answer:
Intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction
Step-by-step explanation:
Required vector is consists of the two components
vx= 2+4=6 units and vy= 1 unit and vx ⊥ vy
We will use Pythagorian theorem to find intensity of the vector v
v∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 units
The angle ∡α between vector and east direction we wil find with tanα
tanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°
Good luck!!!
The answer is -1/3
The slope m is:
m = (y2 - y1) / (x2 - x1)
(x1, y1) = (-2, 2)
(x2, y2) = (4, 0)
m = (0 - 2) / (4 - (-2)) = -2 / 6 = -1/3