13-7 = 6 so that means 6 + 4 would make it ten
Answer:
319 miles.
Step-by-step explanation:
Answer:
24.59 feet
Step-by-step explanation:
Let x represent the distance between Sam and the bird.
We have been given that am the owl is looking down at a 24° angle from the top of a tree that is 10 ft tall, when he spots a bird on the ground. We are asked to find the distance between Sam and the bird.
We can see from our attachment that Sam, the bird and angle of depression forms a right triangle with respect to ground. We can see that side 10 ft is opposite side and and side x is hypotenuse for the 24 degree angle.
![\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}](https://tex.z-dn.net/?f=%5Ctext%7Bsin%7D%3D%5Cfrac%7B%5Ctext%7BOpposite%7D%7D%7B%5Ctext%7BHypotenuse%7D%7D)
![\text{sin}(24^{\circ})=\frac{10}{x}](https://tex.z-dn.net/?f=%5Ctext%7Bsin%7D%2824%5E%7B%5Ccirc%7D%29%3D%5Cfrac%7B10%7D%7Bx%7D)
![x=\frac{10}{\text{sin}(24^{\circ})}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B10%7D%7B%5Ctext%7Bsin%7D%2824%5E%7B%5Ccirc%7D%29%7D)
![x=\frac{10}{0.406736643076}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B10%7D%7B0.406736643076%7D)
![x=24.5859333557](https://tex.z-dn.net/?f=x%3D24.5859333557)
![x\approx 24.59](https://tex.z-dn.net/?f=x%5Capprox%2024.59)
Therefore, the bird is approximately 24.59 feet away from Sam.
Answer:
In algebra, an equation is a mathematical expression that contains an equals sign. ... An inequality is a mathematical expression that contains inequality signs. For example, y≤ 12x is an inequality. Inequalities are used to tell us that an expression is either larger or smaller than another expression.
Step-by-step explanation: