Question

Solve for the missing angle(Geometry)

Answer 1

Explanation:

✧
`\underline{ \underline{ \large{ \tt{G \: I \: V \: E \: N}}}} :`

• Hypotenuse ( h ) = 8
• base ( b ) = 5

✧
`\underline{ \underline{ \large{ \tt{T\: O \: F \: I \: N \: D}}}} :`

• Value of x °

✧
`\underline{ \underline{ \large{ \tt{L \: E \: T\:' S \: \: S \: O \: L \: V \: E}}}} :`

`\large{ \tt{ \cos( \theta) = (b)/(h)}}`

⇢
`\large{ \tt{cos \: x = (5)/(8)}}`

⇢
`\large{ \tt{x \ = {cos}^( - 1) ( (5)/(8) )}}`

⇢
`\large{ \tt{x \: = \boxed{ \tt{0.99 \degree}}}}`

☥
`\boxed{ \boxed{ \large{ \tt{Our \: Final \: Answer : \underline{ \tt{0.99 \degree}}}}}}`

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Answer 2

51.32°=x°

Explanation:

relationship between base and hypotenuse is given by cos angle

cos x=b/h

x=cos-¹(5/8)=51.318