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Answer:
y ≈ 4.4 cm
Step-by-step explanation:
The image is uploaded below. From the image below you can deduce that the triangle formed is a right angle triangle. The triangle has a height of 12 cm and the base is what we are ask to find.
A right angle triangle has an opposite side , a hypotenuse and an adjacent side. From the right angle triangle below the adjacent side is y cm, the opposite side is 12 cm and the hypotenuse is x cm. The angle between the hypotenuse and the adjacent side is 70°.
Using SOHCAHTOA principle
tan 70° = opposite /adjacent
tan 70° = opposite /adjacent
tan 70° = 12/y
cross multiply
y tan 70° = 12
y = 12/tan 70°
y = 12/2.74747741945
y = 4.36764281119
y ≈ 4.4 cm
