Answer:
407.22 foot is the boat from the base of the lighthouse
Step-by-step explanation:
Given the statement: An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression.
Let x foot be the distance of the object(boat) from the base of the lighthouse
Angle of depression = 
[Alternate angle]
In triangle CAB:
To find AB = x foot.
Using tangent ratio:


Here, BC = 50 foot and 
then;

or


Simplify:
AB = x = 407.217321 foot
Therefore, the boat from the base of the light house is, 407.22'
it should be rounded to 30.1
Answer:
I think it may be 120 cm
Step-by-step explanation:
A F is 13 using pythagorean theorem on triangle CED and applying the hypotenuse length to A F.
ABC is similar to triangle CED and is dilated by a factor of 3 so the base is 36.
using pythagorean theorem on triangle ABC gets the hypotenuse length of 39 which can be applied to FE
add all the values together
39 + 13 + 15 + 36 +12 +5 = 120
Answer:True
Step-by-step explanation:
Average speed refers to the total distance covered in a specific time . it also a scalar quantity (has magnitude but no direction)
Average speed=distance / time
-Speed is in kilometers/hours or meter/seconds
-distance is in kilometers or meters
-time is in hours or seconds
The whole number of minutes that Gianna complete each week as a function of x and y:

Since the above number is greater than 450 minutes, we get the inequality:

Also, "she can complete at most 10 workouts this week" so we deduce the inequality:

Therefore, the system of inequalities is the following:


The above system has many solutions, for example :