Here you would use right triangle trig (SOH CAH TOA)
So first draw a right triangle. Imagine youre standing at the angle opposite the right angle which is the one on the ground.This angle is the 41°. Now Imagine the balloon is as the angle above the right triangle. Well since the balloon is 1503 m from his location this would be the hypotenuse. SInce we are trying to find the height (x) we would use sine since
sine = opposite/hypotenuse . Now lets solve make sure calculator is in degree mode:
sin41 = x/1503 multiply both sides by 1503 to cancel it out
1503sin41 = x plug into calculator
x = 986.057 ft
The balloon is 986.057 feet above the ground.
The final answer would be:
9x / (x-8)
The exact steps are shown in the attached picture.
Note that when dividing two fractions, we convert the division into multiplication and flip the second term.
48 different <span>lunches can be ordered from the restaurant's lunch special menu</span>
Answer:5in
Step-by-step explanation:
1. Identify the triangle
you are given a right triangle with the hypotonus missing and are given the side lengths 3 and 4 you know the hypotonus is 5 by the 3,4,5 Pythagorean tripe, if you do not notice this it can be solved with the Pythagorean theorem a^2+b^2=c^2
2. solve (if not done with 3,4,5 triple)
3^2+4^2=c^2
9+16=c^2
25=c^2
5=c | square root both sides to cancel the square
6 is only the double of 3
3×2=6
Any number that's multiplied by 6 will be the double of any number multiplied by 3, or vice versa, any number multiplied by 3 will be half of any number multiplied by 6. This is because 6 is a multiple of 3.
Take for example:
850×6=5100 ⇔ 850×(3×2)=5100
