Here we are given with a triangle with smaller triangles formed due to the altitude on AC. Given:
- AB = 6
- BC = 8
- <ABC = 90°
- BD ⊥ AC
- <ABD =
We have to find the value for sin
So, Let's start solving....
In ∆ADB and ∆ABC,
- <A = <A (common)
- <ABC = <ADB (90°)
So, ∆ADB ~ ∆ABC (By AA similarity)
The corresponding sides will be:
We know the value of AB and to find AC, we can use Pythagoras theoram that is:
AC = √6² + 8²
AC = 10
Coming back to the relation,
In ∆ADB, we have to find sin which is given by perpendicular/base:
Plugging the values of AD and AB,
Simplifying,
And this is our final answer.....
Carry On Learning !
Given:
A car traveled 150 km in 3 hour.
To find:
The unit rate.
Solution:
We have,
Distance = 150 km
Time = 3 hours.
In this case speed is the unit rate.
Substituting the given values, we get
Therefore, the unit rate is 50 km/h.
You can solve this using a system of equations:
0.06x + 0.08y = 2060 (interest)
x + y = 29,000 (money invested)
Multiply each term in the second equation by -0.06 to cancel out the 0.06x from the first equation.
-0.06x - 0.06y = -1740
Now add this equation to the first equation and solve for y.
0.06x + 0.08y = 2060
-0.06x - 0.06y = -1740
0.02y = 320
y = 16,000
Since you know y = 16,000 you can substitute it into either of the original equations to solve for x. I picked the second equation because it's simpler, but you could also use the first.
x + 16,000 = 29,000
x = 13,000
So you invested 16,000 at 8% and 13,000 at 6%.