Answer to Question #159620 in Trigonometry for jordyn

Question

A 6.7m totem pole is being erected on Vancouver Island.  The carvers know that the tethers holding the pole in place need to meet the ground at an angle of 39° for maximum stability.  Albert states that they should use the cosine ratio to determine how the long the tethers should be. Stanley argues that they should use the sine ratio.

Answer 1

$Using\:sine\:ratio\:$

$sin\:39^{\circ }=\frac{6.7}{h}$

$h=\frac{6.7}{sin\:39^{\circ }}=10.6464\approx10.6m$

$Length\:of\:tether=10.6m$