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2 years ago

A) The cosine rule can be used to find the value of x in the triangle below.

Mathematics

1 answer:

BartSMP [9]2 years ago

5 0

Answer:

see explanation

Step-by-step explanation:

(a)

(the side required )² = sum of squares of other 2 sides - ( 2 × product of other 2 sides and cos(angle opposite side required ) )

x² = 12² + 15² - (2 × 12 × 15 × cos71°)

(b)

x² = 144 + 225 - 360cos71°

= 369 - 360cos71° ( take square root of both sides )

x = $\sqrt{369-360cos71}$

≈ 16 cm ( to the nearest integer )

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2 years ago

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_____

Note: the calculator mode is set to Degrees.

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3 years ago

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