In this triangle it is clear that the unknown side x is the hypotenuse of both the triangles that are being formed . So , let us take any one of the triangles and with it's length let us find the length of their hypotenuse which is side x .
= 5² + 5² = x² ( according to the pythagorean theorem the square on the hypotenuse will be equal to the sum of the squares on the other two legs )
= 25 + 25 = x²
= 50 = x²
= 7.0710678119 = x
But they have given that we have to round it off to the nearest tenths , so ;
= 7.0710678119 will be equal to = 7.10
= 7.1 = x
Therefore , the length of the unknown side x = 7.1 .
Answer: The correct option is 350.62 feets.
Step-by-step explanation:
Let the triangle Δ ABC
the length of wire = AC
Height of the pole = AB
Length between the point of attachment of wire from base of the pole = BC = 137 feets
Angle of elevation to the pole = θ = 67 °
According to trigonometry :
cosθ =
cos 67 ° =
AC = 351.28 feets 351 feets.
From the given option the closest value to our answer is 350.62 feets.
Hence, the correct option is 350.62 feets.
3• 5-x
———- that would be it
6•x
No, because the divisor may not divide evenly.