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timama [110]
1 year ago
9

I need help I'm stuck on this

Mathematics
1 answer:
ddd [48]1 year ago
5 0

a) The length of p is 21.4 cm

b) The measure of angle P is 45.6°

<h3>Trigonometry </h3>

From the question, we are to determine the length of p

From the <em>Pythagorean theorem</em>, we can write that

30² = 21² + p²

p² = 30² - 21²

p² = 900 - 441

p² = 459

p = √459

p = 21.4 cm

∴ The length of p is 21.4 cm

b)

Measure of angle P

Using SOH CAH TOA

cos P= \frac{21}{30}

cos P = 0.7

P = cos⁻¹(0.7)

P = 45.6°

Hence, the measure of angle P is 45.6°

Learn more on Trigonometry here: brainly.com/question/17831932

#SPJ1

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