C.x=-7.7 and x=-1.3 should be the answer
The value of x is 40.
Solution:
Given ΔVDG and ΔVNG are similar triangles.
DG = 207, NQ = 138, GQ = 60, QV = x
To find the value of x.
In two triangles are similar, then the measures of the corresponding sides are in proportional to each other.
Substitute the given values.
Do cross multiplication, we get
Divide by 207 on both sides of the equation, we get
Hence the value of x is 40.
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.
Answer:
x = 7
Step-by-step explanation:
I used the formula c^2 = a^2 + b^2
if you need further explanation,let me know
You should calculate like this: 595/5= $119
