Answer:
<em>The height of the monument is 124.8 ft</em>
Step-by-step explanation:
<u>Right Triangles</u>
The ratios of the sides of a right triangle are called trigonometric ratios. The tangent ratio is defined as:
The figure attached below shows the different distances involved in the problem. We heed to find the value of h, the height from Daniel's eyes. Then we'll add it to the 6 ft where his eyes are located from the ground.
Taking the angle of 68° as a reference:
Solving for h:
Calculating:
h = 118.8 ft
The height of the monument is 118.8 ft + 6 ft = 124.8 ft
Let the two sides of a right triangle be equal to one, which means that the hypotenuse is √2
Since cosa=adjacent side / hypotenuse
cos45=1/√2
We can rationalize the denominator by multiplying numerator and denominator by √2
√(2)/2
or if you prefer: √(1/2)
|DF| = |DE| + |EF|
|DF| = 9x -36
|DE| = 47
|EF| = 3x+10
Substitute:
9x - 39 = 47 + 3x + 10
9x - 39 = 3x + 57 |+39
9x = 3x + 96 |-3x
6x = 96 |:6
x = 16
Put the value of x to the equation |EF| = 3x + 10
|EF| = (3)(16) + 10 = 48 + 10 = 58
Answer: |EF| = 58
Answer:
8 units
Step-by-step explanation:
so there is something called Pythagorean thereon and it states that a^2+b^2=c^2
and 6 is either a or b
and c is ten so
6^2+b^2=10^2
36+b^2=100
b^2=64
here you need to find the square root in order to delete the power so
b=8
or
x=8
Answer:
3
Step-by-step explanation:
4(x + 1) + 8 = 24
Subtract 8 from each side
4(x + 1) + 8-8 = 24-8
4(x + 1) = 16
Divide by 4
4(x+1)/4 = 16/4
x+1 = 4
Subtract 1
x+1-1 = 4-1
x=3
