Answer: The distance from the campsite to the foot of the mountain is 2310 ft (approx)
Step-by-step explanation: We have been given that the scout on the mountain top has spotted a campsite and he did so while looking down from a 33° angle of depression. If we label his position as point A, the foot of the mountain as point B and the campsite as point C, then it means the scout has formed an angle of 57° between point A and point B. Now we have a right angled triangle ABC with angle A measuring 57°
Using the trigonometrical ratio of tangent
Tan A = opposite/adjacent
Tan 57 = BC/1500
1.5399 = BC/1500
When you cross multiply both sides you have
1.5399 × 1500 = BC
2309.85 = BC
Approximated to the nearest foot,
BC = 2,310 ft
Answer:
45 sides
Step-by-step explanation:
If each of the interior angles is 172 degrees, then each of the exterior angles is 8 degrees. Since the sum of the exterior angles of any polygon is 360 degrees, there are 360 / 8 = 45 exterior angles and 45 sides.
Answer:
4y+34
Step-by-step explanation:
Let's simplify step-by-step.
4(y+11)−10
Distribute:
=(4)(y)+(4)(11)+−10
=4y+44+−10
Combine Like Terms:
=4y+44+−10
=(4y)+(44+−10)
=4y+34
Hope this helps!
Alright we know the formula for circumfruence is 2
r
So you plug it in!
Note: Radius is just the diameter split in half.
2*3.14*9.9375
2*31.20375
So the circumference of the barrel is 62.4075
Answer: Speed of motorboat= 25 km hr
Speed of current= 5km hr
Step-by-step explanation:
120/4= speed of motorboat with the current
120/6= speed of motorboat against the current
Get the average of those 2 numbers.
Motorboat=25 km hr
Speed of current= 5 km hr