Answer:
A) 0.38
Step-by-step explanation:
By SOH CAH TOA, the <em>sine of an angle is its opposite side divided by the hypotenuse</em>.
<em>The opposite of ∠C is 5, and the hypotenuse is 13</em>.
So, sin(C) = 5/13 ≈ 0.38.
If you sketch the path of the boat, you will form a right triangle towards the port. The distance from the port to the present position is the hypotenuse since it is opposite from the right angle formed by the 12 miles north and 5 miles east movement. Since it is a right triangle, use the Pythagorean Theorem to solve the hypotenuse.
Solution:
h² = o² + a²
h² = 12² + 5²
h² = 144 + 25
h² = 169
√h² = √169
h= 13
The present distance of the boat from the port is 13 miles.
Hey Rireneb!
This is a pretty simple Geometry question, so I will explain it in-depth for you to understand clearly! What you have displayed in the image is an isosceles triangle, meaning that both base angles are congruent (to each other). You know that the angle opposite to the base is 93.5, so you can subtract that from 180 and get 180-93.5=86.5
So, your base angles must be equal AND equal 86.5 when added up. So you must do the following, 86.5/2, which would get you to the answer 43.35. So, 43.25 is the value of each base angle, meaning that x = 43.25. Finally, the most appropriate answer to your question would be option 2!
Hope I was able to help! If you need any more help, please let me know and I will further assist you.
The answer should be 85 books per hour so 170 two hours
