I'll do my best to describe this problem.
Given A=17 degrees, B=73 degrees , x=q, y=5 and z=r use the figure to find the exact value of q and r
x = base
y = leg
z = hypotenuse
a = angle between z and x
b = angle between z and y
90 degree angle = between x and y
Solve for q and r
R =
Q =
To solve for q and r, we can use the trigonometric functions sine, cosine, and tangent.
In the given figure, we have the following information:
Angle A = 17 degrees
Angle B = 73 degrees
Length of the base (x) = q
Length of the leg (y) = 5
Length of the hypotenuse (z) = r
To find q (angle x), we can use the sine function:
sin(A) = opposite/hypotenuse
sin(17) = q/r
q = r*sin(17)
To find r (angle z), we can use the cosine function:
cos(B) = adjacent/hypotenuse
cos(73) = q/r
r = q/cos(73)
Now, substituting the value of q from the first equation into the second equation, we can solve for r:
r = (r*sin(17))/cos(73)
To find the exact value of q and r, we need to use a calculator to evaluate the trigonometric functions. Let's calculate the values.