For this case, we can model the problem as a rectangle triangle.
We know the height of the triangle.
We know the angle between the base of the triangle and the hypotenuse.
We want to find the base of the triangle.
For this, we use the following trigonometric relationship:
tan (70) = 39 / x
Clearing x we have:
x = 39 / tan (70)
x = 14.2 feet
Answer:
The distance between the base of the building and the base of the ladder is:
x = 14.2 feet
13a.) If you're dividing and the base (in this case the base is 10) is the same, subtract the exponents.
![{10}^{7} \div {10}^{5} = {10}^{7 - 5} = {10}^{2}](https://tex.z-dn.net/?f=%20%7B10%7D%5E%7B7%7D%20%5Cdiv%20%7B10%7D%5E%7B5%7D%20%3D%20%7B10%7D%5E%7B7%20-%205%7D%20%3D%20%7B10%7D%5E%7B2%7D%20)
13b.) If you're multiplying and the base is the same, then you add the exponents:
![{s}^{2} \times {s}^{3} \times s = {s}^{2 + 3 + 1} = {s}^{6}](https://tex.z-dn.net/?f=%20%7Bs%7D%5E%7B2%7D%20%5Ctimes%20%7Bs%7D%5E%7B3%7D%20%5Ctimes%20s%20%3D%20%7Bs%7D%5E%7B2%20%2B%203%20%2B%201%7D%20%3D%20%7Bs%7D%5E%7B6%7D%20)
13c.) This is similar to 13b:
Answer:
24
Step-by-step explanation:
The Pythagorean Theorem states that
where a and b are the legs in a right triangle and c is the hypotenuse. Therefore, just substitute the values a = 10 and c = 26 into the equation to get b = 24
Hope this helps :)
Answer:
History test
Step-by-step explanation:
28 divided by 40 is 0.7 which equals 70 percent.
39 divided by 60 is 65 percent .