triangle is the ladder (20) and the angle given between ladder an ground is 75 degrees. Use trig to find the height of the wall which is the leg of the triangle.

Sine of Angle is opposite side/hypotenuse

Cosine of Angle is adjacent side/hypotenuse

so Sine of 75 degrees = Wall height/20

Wall height = 20 times Sine of 75 degrees

Sine of 75 degrees = .9659

20 times (.9659) = 19.3ft

So now use Cosine to find the other leg of the triangle (the distance between the bottom of ladder to the wall)

Cosine of 75 degrees = Distance wall to base of ladder / 20

Cosine of 75 degrees = .2588

20 times (.2588) = 5.2ft

7 0

3 years ago

Suppose that the tuition for a university is $10,000 this year and tuition increases 7% every year. in how many years will the t

Mumz [18]

To get the number of years it will take for the tuition fee to double we use the compound interest formula, this is given by:
FV=p(1+r/100)^n
where:
FV=future value
p=principle
r=rate
n=years
from the information given, we are required to solve for n given that:
FV=$20,000
p=$10,000
r=7%

thus plugging in the formula we shall have:
20000=10000(1+7/100)^n
solving for n we have:
2=(1.07)^n
introducing natural logs we get:
n=ln2/ln1.07
n=10.25 years

Answer: 10.25 years

4 0

4 years ago