The attached picture has the small triangle, with the tree as one leg of the triangle and the large triangle, with the building as the corresponding leg of that triangle.
In the original picture, the single small line marked in the side are same length (we can call this x) and the double small line marked in the side are of same length (we can call this y).
So as seen in the attached image:
- Small triangle's hypotenuse (side opposite of 90 degree angle) is x and the base is y.
- Similarly for the larger triangle, hypotenuse is 2x and base is 2y.
- Angle labeled a is same for both
- Also we have 2 right angles as shown
Hence, the triangles are similar and the ratio of their sides are also same.
If we take any side (let's take the hypotenuse) and compute the ratio. We have,
. <em><u>This implies that we can multiply 0.5 to any side of larger triangle to get corresponding side of smaller triangle.</u></em>
So, the building height and tree height are corresponding sides. To get height of tree, we multiply 0.5 to 120 to get 60 as the height of the tree.
ft
This is the correct answer.
ANSWER: 60 ft
Answer: the rate uphill is 6 mph.
The rate downhill is 10 mph
Step-by-step explanation:
Let x represent the rate at which the jogger ran uphill.
The jogger runs 4 miles per hour faster downhill than uphill. This means that speed at which the jogger ran downhill is (x + 4) mph
Time = distance/speed
if the jogger can runs 5 miles downhill, then the time taken to run downhill is
5/(x + 4)
At the same time, the jogger runs 3 miles uphill. It means that the time taken to run uphill is
3/x
Since the time is the same, it means that
5/(x + 4) = 3/x
Cross multiplying, it becomes
5 × x = 3(x + 4)
5x = 3x + 12
5x - 3x = 12
2x = 12
x = 12/2
x = 6
The rate downhill is 6 + 4 = 10 mph
Answer The Answer is 80
Step-by-step explanation:
4*5=20
8*5=40
11*5=55
so 16*5=80
Answer:
The first one can be simplified, but the second one cannot be (that i know of). The first one simplified would be 9 to the power of 8.
Step-by-step explanation:
