a number is selected at random from set (2,3,45,6,7,8,9,and 10). which event covers the entire sample space of this experiment ?
1 answer:
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Answer:
The distance of the plane from the base of the tower is 25.5 foot.
Step-by-step explanation:
As given
Max is in a control tower at a small airport.
He is located 50 feet above the ground when he spots a small plane on the runway at an angle of depression of 27°.
Now by using the trigonometric identity.
As shown in the figure given below
Perpendicular = CB
Base = AC = 50 feet
Put in the identity.
Put in the above
CB = 0.51 × 50
CB = 25.5 foot
Therefore the distance of the plane from the base of the tower is 25.5 foot.
Step 1: Convert , which is in radians into degrees. To convert it multiply by
900/12
75
Step 2: 75 degrees isn't on the unit circle but 45 degrees and 30 degrees is. Since 45 + 30 = 75 you can use the cosine of 45 and 30 to find the exact value
cos45 =
cos30 =
Step 3: Add the cos45 and cos30 to get cos5pi/12
Hope this helped!