Question

Can you help me solve the Missing Tangents? 7-15

Answer 1

You know from SOH CAH TOA that 
.. tan(θ) = Opposite/Adjacent

Then the relations for any of these variables will be
.. Opposite = Adjacent * tan(θ)
.. Adjacent = Opposite / tan(θ)
.. θ = arctan(Opposite/Adjacent)

7. x is opposite.
.. x = (30 cm)*tan(26°) ≈ 14.63 cm

8, 9, 10, 14. x is opposite

11. x = arctan(30/60) ≈ 26.57°

12, 13, 15. x is the angle