Answer:
33/400
Step-by-step explanation:
0.0825=825/10000
=165/2000
=33/400
(a) See the attached sketch. The jet makes a right triangle with the ground with hypotenuse <em>y</em>. Since the angle of depression is 56°, and the plane in which the jet is flying 300 m in the air is parallel with the ground, the angle of elevation in the right triangle is also 56°. Use the definition of sine to solve for <em>y</em>.
sin(56°) = (300 m)/<em>y</em> → <em>y</em> = (300 m)/sin(56°)
The uppermost angle in the blue triangle has measure equal to the difference between the two given angles of depression, 56° - 30° = 26°, and the rightmost angle is also 30° by the same reasoning as before. Then by the law of sines,
<em>x</em>/sin(26°) = <em>y</em>/sin(30°) → <em>x</em> = sin(26°)/sin(30°) <em>y</em> ≈ 317.2627 m
(b) No, the field is not long enough.
The number of ratios from students to adults would be a/s
Step-by-step explanation:
<u>Given </u><u>:</u><u>-</u><u> </u>
- 4x + 8y = 20
- -4x + 2y = -30
<u>Adding</u><u> the</u><u> equations</u><u> </u><u>:</u><u>-</u><u> </u>
10y = -10
y = -1
<u>Put </u><u>it </u><u>(</u><u>i)</u><u> </u><u>:</u><u>-</u><u> </u>
4x - 8 = 20
4x = 20 + 8
4x = 28
x = 28/4
x = 7