The following two triangles have the same angles, and are similar. what is the ratio of height to base for the triangles?
a) .75
b) 1.00
c) 1.25
d) 2.50

 The correct option is (A) 0.75.

Step-by-step explanation: Given that the two right-angled triangles in the figure are similar. We are to find the ratio of the height to the base for the triangles.

In the first triangle,

height, h = 6 units  and  base, b = 8 units,

In the second triangles,

height, h' = 3 units  and  base, b' = 4 units.

Since the two triangles are similar, so the corresponding sides will be proportional.

We can see that

Hence, we can write

Therefore, the ratio of the height to the base of the triangles is 0.75.

Thus, (A) is the correct option.

109 is the nearest whole number/final answer! : )

i think is g(1)=-1.

hope that i can