Answer to Question #159620 in Trigonometry for jordyn

Question #159620

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.


1
Expert's answer
2021-02-01T08:23:26-0500

UsingsineratioUsing\:sine\:ratio\:

sin39=6.7hsin\:39^{\circ }=\frac{6.7}{h}

h=6.7sin39=10.646410.6mh=\frac{6.7}{sin\:39^{\circ }}=10.6464\approx10.6m

Lengthoftether=10.6mLength\:of\:tether=10.6m


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