I. dont understand how to do this

Mathematics

1 answer:

kakasveta [241]3 years ago

5 0

Understand what explain clearly than showing an image that people can't really see

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What are the sine cosine and tangent of 5pi/3 radians

nignag [31]

Answer:

Step-by-step explanation:

Take 5pi/3 and subtract 6pi/3 (2 pi). That is the same as -pi/3. That means that the answers are the same as the opposite of pi/3.

Using the Unit circle, the answers are: cosn=1/2 sin= - sqrt(3)/2, tan=sqrt(3)

5 0

4 years ago

Earth has a radius of 3959 miles. A pilot is flying at a steady altitude of 1.8 miles above the earth's surface.

svp [43]

This is optional, but I find it easier to solve problems like this if you draw out what it might look like. That's what I've done for the attached image (see below).

I've defined these points
A = center of earth
B = point just below the plane
C = plane's location
D = horizon (furthest point the pilot can see out)

Based on those point labels, we are given
AB = 3959 miles
BC = 1.8 miles
AD = 3959 miles
CD = x miles

Triangle ADC is a right triangle. So we can use the pythagorean theorem to find x
a^2 + b^2 = c^2
(AD)^2 + (CD)^2 = (AC)^2
3959^2 + x^2 = (AB+BC)^2
3959^2 + x^2 = (3959+1.8)^2
3959^2 + x^2 = 3960.8^2
15,673,681 + x^2 = 15,687,936.64
x^2 = 15,687,936.64 - 15,673,681
x^2 = 14,255.6399999988
x = sqrt(14,255.6399999988)
x = 119.396984886549
x = 119.4 <<--- rounding to the nearest tenth (one decimal place)

Final Answer: 119.4
Units are in miles