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:
Step-by-step explanation:
Line plots are diagrams that show the frequency of data on a number line. ... A box-and-whisker plot is a diagram that summarizes data by dividing it ... For Exercises 1 and 2, use the table below. 1. Make a frequency table of the data. 2. Use your ... for Math Exam. 3. 7. 10. 0. 2. 12. 18. 3. 1. 15. 10. 11. 8. 5. 9. 8. 12. 6. 8. 12 ...
First, we can find that the kitten runs 4 meters per second because 2/3 of 6 is 4
Now we can find how far the puppy will go in 15 seconds
If he goes 6 meters in one second, we do 6*15 to get 90 meters
If the kitten goes 4 meters in one second, we do 4*15 to get 60 meters
So to find the distance between them we do 60+90 to get 150 meters
Step-by-step explanation:
the distance of a vertex on the 2 outgoing sides to the touching points with the inscribed circle is the same for both sides.
and that applies to all 3 vertexes.
so, we know for the top left vertex the distance to both touching points is 4.
that means the distance to the touching points from the bottom left vertex is 7-4 = 3.
and that means that the distance to the touching points from the bottom right vertex is 16-3 = 13.
so, x = 13
it is the distance to one of the touching points for the bottom right vertex.
and the perimeter of the triangle is therefore
7 + 16 + (13 + 4) = 40
