JT is tangent to the circle and at the point of tangency, a right angle is formed. Angle T is a right angle. If angle J is the reference angle, side ET is opposite it measuring 3963. The hypotenuse of this right triangle is 3963+4.8 which is 3967.8. The trig identity that is the side opposite the reference angle over the hypotenuse is the sin ratio. Setting it up will look like this:
. That gives us that ∠J=.9987902616. Take the inverse sin of that on your calculator to find that ∠J=87.18° or 87.2°
Answer:
See below.
Step-by-step explanation:
sin x / x.
You can prove this by L'Hopitals Rule.
If x = 0 then the function = 0/0 so the above rule is applicable here.
Differentiating top and bottom we get cos x / 1 = cos x.
Limit x --> 0 of cos x = 1 so it is proved.
The diameter of the moon is approximately 2,000 miles.
Explanation:
First, because we are solving for the approximate diameter of the moon, let's call the variable representing the diameter of the moon m.
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