Question

Solve for x in a right triangle (show work)

Answer 1

`\bold{\huge{\pink{\underline{Solution}}}}`

`\bold{\underline{Given :-}}`

• We have given two sides of the triangle that is 10cm height and 22cm base

`\bold{\underline{To\: Find :-}}`

• We have to find the value of x°

`\bold{\underline{Let's\: Begin :-:-}}`

Here, we will use the concept of trigonometric ratios that is tan Φ , sinΦ , cos Φ etc.

`\bold{ We\: know \: that, }`

`\bold { Sin Φ = }{\bold{(Perpendicular)/(Hypotenuse)}}`

`\bold{ Cos Φ = }{\bold {(Base)/(Hypotenuse)}}`

`\bold{ tan Φ = }{\bold{(Perpendicular)/(Base)}}`

Here, we have Perndicular height and base of the given triangle, so we will use tan Φ as a reference for finding the value of x°

`\sf{ tan Φ = }{\sf{(10)/(22)}}`

`\sf{ tan Φ = }{\sf{(5)/(11)}}`

`\sf{ tan Φ = 0.45}`

`\sf{ tan x° = 27° }`

`\sf{ Hence, \: The\: value \:of\: x°\: is\: 27°}`