Question

In △abc, ∠b is a right angle, ab⎯⎯⎯⎯⎯=1091⎯⎯⎯⎯√ab¯=1091 meters, bc⎯⎯⎯⎯⎯=30bc¯=30 meters, and ca⎯⎯⎯⎯⎯=100ca¯=100 meters. what is tan(∠a)? 91√109110 310310 103103 91√3913 391√91

Answer 1

Answer:
`\text{tan a}= (3√(91) )/(91)`

Explanation:

Since, in the triangle abc,

ab = 10√91 unit, bc = 30 unit, ca = 100 unit and m∠b = 90°

⇒
`\text{tan a} = (bc)/(ab)`

⇒
`\text{tan a} = (30)/(10√(91))`

⇒
`\text{tan a} =(3)/(√(91))`

⇒
`\text{tan a} = (3* √(91))/(√(91)* √(91))`

⇒
`\text{tan a} = (3√(91))/(91)`

Which is the required value of tan(∠a).