Answer:
756.36 meters
Step-by-step explanation:
Draw a diagram. Let's call the horizontal distance from the top of the mountain to the closest point x.
Using tangent = opposite / adjacent, we can write two equations:
tan 35.3° = h / x
tan 25.76° = h / (x + 500)
Solve for x in the first equation and substitute into the second.
x = h / tan 35.3°
tan 25.76° = h / ((h / tan 35.3°) + 500)
Solve for h.
tan 25.76° (h / tan 35.3°) + 500 tan 25.76° = h
500 tan 25.76° = h (1 − (tan 25.76° / tan 35.3°))
500 tan 25.76° tan 35.3° = h (tan 35.3° − tan 25.76°)
h = 500 tan 25.76° tan 35.3° / (tan 35.3° − tan 25.76°)
h ≈ 756.36 meters
Answer:
Average speed = miles per hour
Step-by-step explanation:
Formula to calculate the average speed of an object is,
Average speed =
If I travel with the speed of x mph for t hours,
Total distance covered = Speed × Time
=
= miles
Similarly, if I travel with the speed y mph for t hours,
Total distance covered = miles
Total distance covered by me = miles
Total time taken to cover this distance =
= hours
Therefore, expression for the average speed will be,
Average speed =
=
= miles per hour
Answer:
62
Step-by-step explanation:
surface area of a rectangular prism = 2lw + 2lh + 2wh
Where l = length, w = width and h = height
The box has the following dimensions
length = 5 in
width = 3 in
height 2 in
Using these dimensions, we plug in the values into the formula
Hence, the surface area = 62
Answer:
negative
Step-by-step explanation:
that is a negative slope .
All sides of a rhombus are equal.
So the triangle containing the marked angle 124 degrees is isosceles and the base angles x and z are equal.
So, because there are 180 degrees in a triangle.
x + z + 124 = 180
z + z + 124 = 180 ( because m < x = m < z)
2z = 180 -124 = 56
z = 56/2 = 28 degrees (answer).