Answer:
9/10
Step-by-step explanation:
Answer: a = 23 ft.
Reasoning:
The question asks for the value of the leg a, given the tangent of the opposite angle and the length of the adjacent-leg, b.
The ratio that relates the three parameters is:
tan(A) = opposite-leg / adjacent-leg = a / b = a / 23 ft
Solve for a, wich is the unknown:
a = 23ft * tan(A) = 23ft * 1.0 = 23 ft
Answer: 23 ft.
Given:
A metal is made from copper, zinc and lead in the ratio 13:6:1.
The mass of zinc is 90kg.
To find:
The mass of the metal.
Solution:
It is given that the metal is made from copper, zinc and lead in the ratio 13:6:1.
Let the mass of copper, zinc and lead are 13x, 6x and 1x respectively.
The mass of zinc is 90kg. So,
![6x=90](https://tex.z-dn.net/?f=6x%3D90)
![x=\dfrac{90}{6}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B90%7D%7B6%7D)
![x=15](https://tex.z-dn.net/?f=x%3D15)
Now, total mass of the metal is:
![Total=13x+6x+1x](https://tex.z-dn.net/?f=Total%3D13x%2B6x%2B1x)
![Total=20x](https://tex.z-dn.net/?f=Total%3D20x)
![Total=20(15)](https://tex.z-dn.net/?f=Total%3D20%2815%29)
![Total=300](https://tex.z-dn.net/?f=Total%3D300)
Therefore, the mass of the metal is 300kg.