Answer:
Boat traveled 553.24 feet towards the lighthouse.
Step-by-step explanation:
In the figure attached AB is the light house of height 200 feet.
Angle of depression of the boat from the top of a lighthouse = angle of elevation of the lighthouse from the boat = 14°52'
so 1' =
degree
so angle of elevation at point C = 14 + 
So angle of elevation from C = (14 + 0.87) = 14.87°
Similarly, when boat arrives at point D angle of elevation = 45°10' = 45 +
= 45.17°
Now we have to calculate the distance CD, traveled by the boat.
In ΔABC
tan14.87 = 
0.2655 = 
BC = 
BC = 753.239 feet
Similarly in ΔABD
tan45.17 = 
1 = 
BD = 200 feet
So distance CD = BC - BD
CD = 753.239 - 200
= 553.24 feet
Therefore, Boat traveled 553.24 feet towards the lighthouse.
24 can not be the total number of students in Mr. Castillo's class.
I'm assuming that your answer options are 20, 24, 25, and 30.
out of this set of numbers, 24 can not be divided by 5 (without getting a decimal)
Answer:
x≥38 points
Step-by-step explanation:
Julio wants to break his school’s scoring record of 864 points during his 24-game basketball season. During the first 8 games of the season, he scored a total of 256 points. Which inequality can be used to find x, the number of points Julio must average per game during the rest of the season to break the record?
julio has a 24 game basketball season.
he has played 8, it means there are 16 more games to go
therefore=
he has scored 256 nts, wic means there are still 608 points to go .
864-256=608
x is the points he more score per every game.
16x=608
to break the records ,he must score an extra point 1
so 16x≥608
x≥38
Check the picture below.
now, bear in mind that, there are 60minutes in 1 degree, so 23' is just 23/60 degrees or about 0.38 degrees.
and 29' is just 29/60 degrees or about 0.48 degrees.
so 16°23' is about 16.38°, and 49°29' is about 49.48°

make sure your calculator is in Degree mode.