Answer:
3.88 nm
Step-by-step explanation:
The angle at Port Latta between the actual direction of travel and the destination at Lookout Point is 90° -75° = 15°. The sine function relates the angle, the side opposite, and the hypotenuse of a right triangle, so you have ...
sin(15°) = (distance to Lookout Point)/(15 nm)
Solving for the desired distance, we have ...
distance to Lookout Point = (15 nm)sin(15°) = 3.88 nm
The yacht is 3.88 nautical miles from Lookout Point.
Answer:
Option (4)
Step-by-step explanation:
Area of the figure given in the picture = Area of large rectangle - Area of rectangle A
Area of rectangle A = Length × Width
= [9 - (2 + 4)] × 3
= 3 × 3
= 9
Area of the large rectangle = Length × Width
= 9 × 5
= 45
Therefore, area of the given figure = 45 - 9
= 36
Option (4) will be the correct option.
We have:

Then we use trigonometric identities to change the negative sign of the trigonometric functions, so:

We clear f(x):

we simply what we can:

Thus, the correct answer is;