Answer:
m∠x = 10°
Step-by-step explanation:
Since we are dealing with a <u>right triangle</u> and its two sides and one angle, we can use <u>trigonometry ratios</u>. Remember them all with the acronym SohCahToa.
"o" is for opposite side, "a" is for adjacent side, "h" is for hypotenuse side.
The ratios are:
sinθ = opposite/hypotenuse
cosθ = adjacent/hypotenuse
tanθ = opposite/adjacent
θ means the "angle of reference", or the angle you know or want to find. This determines which side is adjacent (touching) or opposite (not touching). The hypotenuse (longest side) does not change.
In this triangle, θ = x. The sides we know are hypotenuse and opposite. Therefore, we will use the sinθ ratio.
sinθ = opposite/hypotenuse
sinx = CB/AB Substitute the labels in the diagram
sinx = 4/23 Substitute known values (side lengths)
x = sin⁻¹(4/23) Isolate 'x'. Use calculator to solve.
x = 10.015....° Exact answer
x ≈ 10° Round to the nearest degree
Therefore the measure of angle x (m∠x) is 10°.
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:
Thus, the length of the other leg of this right angled triangle is 30 inches.
Answer:
10
Step-by-step explanation:
8 to the second power is 64
6 to the second power is 36
36+64=100
the square root of 100 is 10
so 10 is the length of the hypotenuse
Hope this helps!
He must get a 65 as a minimum grade on his third test to get an average of 70.
Equation is
85 + 60 + x
------------------- greater than or equal to 70
3
Hello :
the solution is : <span>(3, -1)
put x= 3 and y = -1
you have : 3-(-1) = 4 and 3+(-1) = 2 ..... right</span>
