Answer:
cos 225° =
sin 225° =
tan 225° = 1
Step-by-step explanation:
I cannot sketch a diagram, but a 225° angle is a 3rd quadrant angle and the reference angle is 45° (225 - 180 = 45)
cos and sin are negative in the 3rd quadrant and the tan is positive
cos 225° = - cos 45° =
sin 225° = -sin 45° =
tan 225° = tan 45° = 1
Answer:
26.2655 miles
Step-by-step explanation:
Whenever possible, draw a diagram. I've attached a picture of the balloon and the lines of depression (not drawn to scale, of course).
As you can see, the angles of depression form alternate interior angles with the ground (angles of elevation). So these angles are also 13° and 39°.
We can use the tangents of these angles to find the base lengths of the two triangles that are formed.
tan 13° = 4 / a
a = 4 / tan 13°
tan 39° = 4 / b
b = 4 / tan 39°
So the total distance is:
a + b
= 4 / tan 13° + 4 / tan 39°
≈ 22.2655
