First, split the triangle into half.
So the angle 38 becomes 38/2=19.
So we know two angles in the triangle:
One is 19 degrees.
The other one is 90 degrees (marked red).
The angles in a right-angled triangle add up to 180 degrees.
So to find the x angle, we calculate it by:
180 - (90+19) = 71
(the sum of three angles) - (the sum of the two known angles) = unknown angle
So x = 71 degrees.
Answer:
{π/4, 5π/4}
Step-by-step explanation:
Tan theta -1=0 could be rewritten as tan Ф = 1. The tangent function is 1 at Ф = π/4. As the period of the tangent function is π,
tan Ф = 1 will be true for Ф = π/4 + π, or (5/4)π.
The solution set is {π/4, 5π/4}.
The initial velocity: v o = 20 m/s.And : a = 1.5 m / s² , t = 5 s.The final velocity formula:v = v o + a · tv = 20 + 1.5 · 5v = 20 + 7.5v = 27.5 m /sAnswer: The car`s final velocity is 27.5 meters / second.