Answer:
The answer is d.
Step-by-step explanation:
As we know, sin x= cos (90°-x)
sin 18° = cos (90°-18°)
= cos 72°.
Similarly, sin 72°= cos (90°-72°)
= cos 18°
But, sin 55°= cos (90°-55°)
= cos 35°
2×5^{2} if you don't understand its 2 times 5 to the second power.
Let the distance of the first part of the race be x, and that of the second part, 15 - x, then
x/8 + (15 - x)/20 = 1.125
5x + 2(15 - x) = 40 x 1.125
5x + 30 - 2x = 45
3x = 45 - 30 = 15
x = 15/3 = 5
Therefore, the distance of the first part of the race is 5 miles and the time is 5/8 = 0.625 hours or 37.5 minutes
The distance of the second part of the race is 15 - 5 = 10 miles and the time is 1.125 - 0.625 = 0.5 hours or 30 minutes.
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