The cosine for ∠A is .
Option: A.
<u>Step-by-step explanation:</u>
From the given diagram,
Opposite = 8 ft.
Adjacent = 5 ft.
In trigonometry, the formula for cosine = .
We are not given with hypotenuse. So we have to find the hypotenuse using Pythagorean Theorem
.
.
hypotenuse = .
cosine = .
Multiply in both numerator and denominator,
The cosine for ∠A is .
Step-by-step explanation:
remember, the sum of all angles in a triangle is always 180°.
and the sum of all angles around one point at one side of a line is also airways 180° (because you can imagine that point to be the center of a circle, and the line would cut that circle in half = 180° for every half).
in the triangle LKM we know 2 angles already :
angle 1 = 44°
angle K = 90° (right angle).
so, angle 2 = 180 - 90 - 44 = 46°
and so, angle 5 = 180 - 46 = 134°.
as the angles around point L on line KL are the angles 2 and 5.
angle 5 = 134°
6 - 6, 12, 18, 24, 30, 36, 42, 48 54, 60, 66, 72, 78, 84, 90, 96