Answer: 
Explanation:
We have a right triangle with sides AB, BC=5cm and AC=13cm (the hypotenuse). Let's apply the Pithagorean Theorem to find AB:
(1)
(2)
(3)
(4)
Now that we know the value of each side of the triangle, we will use the trigonometric function sine to find the angles C and A (angle B is
remembering we are talking about a right triangle):
For angle C:

(5)
(6)
(7)
For angle A:
(8)
(9)
(10)
Calculating the difference between both angles:


Answer: 
Explanation:
The Tropic of Cancer is one of the parallels (imaginary line around the Earth parallel to the equator) located in the northern hemisphere (currently its latitude is
).
It is called "Cancer" because a long time ago, when the summer solstice occurred in the northern hemisphere (on June 20th or 21st), the Sun was in the constellation Cancer (the crab).
Now, if we were just in the North Pole, Polaris would by exactly over our heads (
over the horizon), but as we go south and find the Tropic of Cancer parallel, Polaris altitude will be approximately at an angle of
over the horizon.
Hence, the altitude of Polaris measured by an observer at the Tropic of Cancer is
.
<h2>Right answer: It is used to measure long distances in space</h2>
A light year (
) is a distance unit that is approximately
.
By definition it is <em>the distance that a photon would travel in vacuum during a Julian year (365.25 days) at the speed of light (299 792 458 m/s) at an infinite distance from any gravitational field or field magnetic.
</em>
<em>
</em>
In other words:
It is the distance that light can travel in a year.
This unit is used to measure large distances in space. Therefore the correct answer is D.