Question

Find the value of x. Round the length to the nearest tenth.

a. 10.6ft

b. 7.6ft

c. 15.3ft

d. 7.9ft

Answer 1

Answer is option d)7.9

Explanation:

`by \: trignometric \: rule \\ we \: know \: \cos(theta) = (adjacent \: side)/(hypotenuse) \\ here \: theta = 44 \: degrees \: \: \\ hypotenuse = 11 \: ft \: and \: \: \: adjacent \: = x \\ on \: substituting \: the \: values \: in \: formula \\ \cos(44) = (x)/(11) \\ x = 11 * \cos(44) \\ x = 11 * 0.7193 \\ x = 7.91 \\ then \: adjacent \: value \: (x) = 7.9 \: ft \\`

For the value of cos(44) you may use your calculator or log book.

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Answer 2

x = 7.9

Explanation:

Given:

Angle - 44

Hypotenuse - 11 ft

adjacent side - x

having adjacent and hypotenuse use Cosine to solve the problem from

S-oh C-ah T-oa

cos (angle) = adjacent / hypotenuse

**Make sure your calculator is in degree mode**

cos 44 = x/11

if you cross multiply, you get

11 cos 44 = x

or to solve for x you would multiply both sides by 11 and get

11 cos 44 = x

x = 7.9