Answer: The tall cliff is 118.20 feet tall and the short cliff is 70.32 feet tall.
If you draw a picture with 2 cliffs and a river in the middle, you have find 2 right triangles. In each triangle the adjacent side to our known angle is the river of 90 feet. And the unknown side is the opposite leg.
Therefore, we can set up a tangent equation.
From the top of the short cliff to the top of the tall cliff, we can right and solve the following trig equation:
tan(28) = x /90
x = 47.88
From the top of the short cliff to the bottom, we can right and solve the following trip equation.
tan(38) = x/90
x = 70.32
The 70.32 is also the height of the short cliff. And adding the two answers together will give you the height of the tall cliff.
If two figures are similar, the resulting corresponding angles are always congruent.
Answer:
9
Step-by-step explanation:
So first I created 2 distance forumlas and set them equal to each other
then I simplified them
when k = 9, the two distances are equal
Answer:
Each child will receive 0.125 (or 12.5%) of the estate.
Step-by-step explanation:
If the surviving spouse gets one half of the estate, the other half have to be divided among the four surviving children.
So its 0,5 divided among the 4 surviving children. That is 0.125 or 12.5% of the estate.
Each child will receive 0.125 of the estate.
