Answer:
h = 1.41
c = 3.46
Step-by-step explanation:
See the triangles diagram attached.
For the first triangle, Base = h, Hypotenuse = 2 and the angle between base and hypotenuse is 45°.
Therefore, [tex]\cos 45 = \frac{\textrm {Base}}{\textrm {Hypotenuse}} = \frac{h}{2}[/tex]
⇒ [tex]h = 2 \cos 45 = \frac{2}{\sqrt{2} } = \sqrt{2} = 1.414 = 1.41[/tex] (Answer)
{Rounded to the nearest tenth}
Again in the second triangle, Perpendicular = c, Hypotenuse = 4 and the angle between base and hypotenuse is 60°.
Therefore, [tex]\sin 60 = \frac{\textrm {Perpendicular}}{\textrm {Hypotenuse}} = \frac{c}{4}[/tex]
⇒ [tex]c = 4 \sin 60 = \frac{4 \times \sqrt{3} }{2} = 2\sqrt{3} = 3.46[/tex] (Answer)
{Rounded to the nearest tenth}
