Homemade volcano kit from walmart.
Answer:
Part 1) ![BC=12.2\ units](https://tex.z-dn.net/?f=BC%3D12.2%5C%20units)
Part 2) ![m\angle A=55^o](https://tex.z-dn.net/?f=m%5Cangle%20A%3D55%5Eo)
Part 3) ![m\angle C=35^o](https://tex.z-dn.net/?f=m%5Cangle%20C%3D35%5Eo)
Step-by-step explanation:
Part 1) Find AC
we know that
In the right triangle ABC of the figure
Applying the Pythagorean Theorem
![AC^2=AB^2+BC^2](https://tex.z-dn.net/?f=AC%5E2%3DAB%5E2%2BBC%5E2)
substitute the given values
![AC^2=7^2+10^2](https://tex.z-dn.net/?f=AC%5E2%3D7%5E2%2B10%5E2)
![AC^2=149\\AC=12.2\ units](https://tex.z-dn.net/?f=AC%5E2%3D149%5C%5CAC%3D12.2%5C%20units)
Part 2) Find the measure of angle A
we know that
In the right triangle ABC
----> by TOA (opposite side divided by the adjacent side)
substitute the values
![tan(A)=\frac{10}{7}](https://tex.z-dn.net/?f=tan%28A%29%3D%5Cfrac%7B10%7D%7B7%7D)
using a calculator
![m\angle A=tan^{-1}(\frac{10}{7})=55^o](https://tex.z-dn.net/?f=m%5Cangle%20A%3Dtan%5E%7B-1%7D%28%5Cfrac%7B10%7D%7B7%7D%29%3D55%5Eo)
Part 3) Find the measure of angle C
we know that
In the right triangle ABC
----> by complementary angles
substitute the given value
![55^o+m\angle C=90^o](https://tex.z-dn.net/?f=55%5Eo%2Bm%5Cangle%20C%3D90%5Eo)
![m\angle C=90^o-55^o=35^o](https://tex.z-dn.net/?f=m%5Cangle%20C%3D90%5Eo-55%5Eo%3D35%5Eo)
Answer is 10 because I just took the test
Answer:
33.33 feet
Step-by-step explanation:
First you want to divide 25 to 7.5 so that you can find out how far the ladder is if it was a foot-long your answer should be 3.33. Then you want to multiply the 3.33 to 10 and the answer would be 33.33