Answer:

Step-by-step explanation:
Please find the attachment.
We have been given that area of triangle ABC is 3√2 square inches.

We know that area of triangle an be found using trigonometry as:







Now, we will use inverse sine to find the value of angle A as:



Therefore, the measure of angle A is approximately 28 degrees.
Answer:
A.
Step-by-step explanation:
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.
Answer:
y = 100°
Step-by-step explanation:
x = 40° (vertical angles are congruent)
y is an exterior angel of a triangle that has two opposite internal angles, x (40°) and 60°.
According to the exterior angle of a triangle, thus:
y = 40 + 60
y = 100°
Average speed = (total distance) / (total time)
Average speed = (192 km) / (8 hours) = 24 km per hour .