Danielle Danielle

05-02-2024
Mathematics

College

What is the length of side s of the square shown below?

45

90°

A. 2-2

B. 2

C. 42

O D. v2

E. 1

O F. 4

What is the length of side s of the square shown below 45 90 A 2 2 B 2 C 42 O D v2 E

Answer :

akposevictor akposevictor

09-09-2024

Answer:

D. √2

Step-by-step explanation:

Solve for x by applying trigonometric ratio.

Reference angle = 45°

Hypotenuse = 2

Adjacent side = s

Thus:

Cos (45) = adj/hyp

Cos (45) = s/2

2×Cos(45) = s

2 × √2/2 = s (cos (45) = √2/2)

√2 = s

s = √2

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