Question

Use the figure below to find the answer. Find y. y =

Answer 1

7 square root of 2

Answer 2

`y= 7√(2)` units

Explanation:

Using tangent ratio:

`\tan \theta = \frac{\text{Opposite side}}{\text{Adjacent side}}`

As per the statement:

In the given right angle triangle.

First find x:

Using tangent ratio:

`\tan 45^(\circ) = (7)/(x)`

`1 = (7)/(x)`

⇒x = 7 units

We have to find the value of y:

Using Pythagoras theorem;

`\text{Hypotenuse side}^2=\text{opposite side}^2+\text{Adjacent side}^2`

Substitute the given values we have;

`y^2 = 7^2+7^2`

⇒
`y^2 = 49+49 = 98`

⇒
`y = √(98) = √(49 \cdot 2) = √(7^2 \cdot 2)`

⇒
`y = 7√(2)` units

Therefore, the value of y is,
`7√(2)` units