Hi!
We are given the information found in the picture below.
Note: The directions aren't correct, but the triangle works for this problem.
The "direct path" is the hypotenuse of this triangle.
To find this, we use the Pythagorean Theorem, where and
are 2 legs of the triangle, and
is the hypotenuse, aka the longest side of any triangle:
We know and
and want
Therefore, is approximately
Step-by-step explanation:
003:
To solve this, we'll be using the Pythagorean theorem,
004:
For the next couple questions we'll be using a fun rule called SOHCAHTOA, which stands for Sin (Opposite/Hypotenuse) Cos (Adjacent/Hypotenuse) Tan (Opposite/Adjacent). From this we can see that Tan θ is 8/.
005:
From this rule again, we can tell that sin Ф (Opposite/Hypotenuse) is going to be /15.
Answer:
003:
004: 8/
005: /15