Hey there :)

Here we need to use Trigonometry!

The given angle is 61°
The opposite to the angle is 22
So x is the adjacent

The trigonometric ratio that uses opposite and adjacent is tan
( I have uploaded a picture to help you )

tan α = $\frac{opposite}{adjacent}$
tan 61 = $\frac{22}{adj}$
adj = $\frac{22}{tan(61)}$
adj ≈ 12.19 ≈ 12

x = 12

5 0

3 years ago

The sum of three numbers is 100. The second number is 2 times the third. The third number is 8 less than the first. What are the

8_murik_8 [283]

Answer:

Step-by-step explanation:x+y+z=100(let x ,y,z represent the first second and third numbers respectively)

Therefore,y=2z

z=x-8

y=2x-16

substituting the values of x,y and z into the question,we have

x+(2x-16)+(x-8)=100

Simplifying,we have

4x-24=100

adding 24 to both sides of the equation,

4x=100+24

4x=124

dividing both sides of the equation by the co-efficient of x,we have

4x/4=124/4

4.31=124

therefore,x=31.

6 0

9 months ago