Answer:
29 miles
Step-by-step explanation:
116 divided by 4
Answer:
261∠36° Newtons
Step-by-step explanation:
A straightforward way to find the resultant is to add the x- and y-components of the forces:
r = 300(cos(-30°), sin(-30°)) +180(cos(45°), sin(45°)) +250(cos(135°), sin(135°))
= (300√3/2 +180√2/2 -250√2/2, -300/2 +180√2/2 +250√2/2)
= (150√3 -35√2, -150 +215√2)
≈ (210.310, 154.056)
≈ 260.698∠36.22°
The resultant is approximately 261 Newtons at an angle of 36°.
_____
From components (x, y), the angle is found as arctan(y/x). The magnitude is found as √(x²+y²).
Answer:
Your hands full
Step-by-step explanation:
Answer:
For a triangle with <em>a</em> = 33, <em>c</em> = 48 and the angle
, the missing side is <em>b = </em>60.4, and the missing angles are
and
.
Step-by-step explanation:
The Law of Sines says that in any given triangle, the ratio of any side length to the sine of its opposite angle is the same for all three sides of the triangle. This is true for any triangle, not just right triangles.

We know two sides <em>a</em> = 33, <em>c</em> = 48 and the angle
, so we use the law of sines to find the angle
as follows:

One of the basic properties of triangles is that the sum of the measure of angles, in every triangle, is 180°.
So,

To find the side <em>b</em> we use the law of sines:
