Answer:
The length of the other leg of this right angled triangle is 30 inches.
Step-by-step explanation:
We are given the following in the question:
A right angles triangle with the hypotenuse of 34 inches and the length of one of its legs is 16 inches.
Pythagoras theorem:
- The sum of of square of two sides of a triangle is equal to the square of the hypotenuse.
Let x inches be the length of the other leg of this right triangle.
Thus, we can write the equation:
![x^2 + (16)^2 = (34)^2\\x^2 + 256 = 1156\\x^2 = 900\\x = 30](https://tex.z-dn.net/?f=x%5E2%20%2B%20%2816%29%5E2%20%3D%20%2834%29%5E2%5C%5Cx%5E2%20%2B%20256%20%3D%201156%5C%5Cx%5E2%20%3D%20900%5C%5Cx%20%3D%2030)
Thus, the length of the other leg of this right angled triangle is 30 inches.
Answer:
Step-by-step explanation:
- tangent = opposite / adjacent
- tan x = 40/34
- x = arctan (40/34)
- x ≈ 49.6°
The answer is 224.7 you got to turn 30% into decimal which is 0.30
then multiply 0.30 and 749 which equals 224.7