Answer:
The found value of r is:
r = 94.7
Step-by-step explanation:
We know that
cosθ = Base / Hypotenuse
θ is the always the angle between base and hypotenuse
In this right angles triangle, the angle θ is given 63°.
Which means that the Base is 43 and the hypotenuse is r
Base = 43
Hypotenuse = r
Substitute θ=63°, Base = 43 and hypotenuse = r in the formula of cosθ mentioned above:
cos 63° = 43/r
Rearrange
r = 43/cos63°
r = 43/0.454
r= 94.7