Answer:
30°
Step-by-step explanation:
<u>Angles and Quadrants:</u>
- 0° to 90° -- Quadrant 1
- 90° to 180° -- Quadrant 2
- 180° to 270° -- Quadrant 3
- 270° to 360° -- Quadrant 4
<u>Formula for Reference Angle in each Quadrant:</u>
<em> is the angle given</em>
- Quadrant 1 -- Reference Angle =
- Quadrant 2 -- Reference Angle =
- Quadrant 3 -- Reference Angle =
- Quadrant 4 -- Refence Angle =
Angle given is 150°, which according to first table, falls in Quadrant 2.
According to second table, the reference angle is found by subtracting 150° from 180°.
Reference Angle = 180° - 150° = 30°
Answer:
X=25
Step-by-step explanation:
y+2=-7+2=5
Consider triangle WBG, where points W, B and G represent Weather Station, Balloon and Ground, respectively. This triangle is right with right angle at vertex G. The legs of this triangle are GB and GW, the hypotenuse is BW.
From the question you know that GB=4 km and GW=1 km. By the Pythagorean theorem,
Answer: nearly 4.123 km