Question

I WILL GIVE BRAINLIEST 50 POINTS Find x. Round your answer to the nearest tenth of a degree.

Answer 1

Answer:

c = 30.8 (nearest tenth)

Step-by-step explanation:

Pythagoras' Theorem: a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

• a = 21
• b = 22.5

Substitute given values into the formula and solve for c:

⇒ 21² + 22.5² = c²

⇒ 947.25 = c²

⇒ c = ±√(947.25)

⇒ c = ±30.8 (nearest tenth)

As distance is positive, c = 30.8 (nearest tenth) only

Answer 2

#b

$\\ \rm\rightarrowtail tan47=\dfrac{b}{21}$

$\\ \rm\rightarrowtail b=21tan47$

$\\ \rm\rightarrowtail b=22.5$

#c

$\\ \rm\rightarrowtail cos47=\dfrac{21}{c}$

$\\ \rm\rightarrowtail c=21/cos47$

$\\ \rm\rightarrowtail c=30.88$