Question

Fill in the blank of the triangle below x=

Answer 1

x = 37.53 units

Explanation:

Points to remember

Trigonometric ratios

Sin θ = Opposite side/Hypotenuse

Cos θ = Adjacent side/Hypotenuse

Tan θ = Opposite side/Adjacent side

From the figure we can see a right angled triangle with one angle is 47° and adjacent side length of that angle is 35

To find the value of x

From the figure we can write,

Tan 47 = Opposite side/Adjacent side

= x/35

x = 35 * Tan 47

= 37.53 units

Answer 2

`37.53units`

EXPLANATION

From the given right angle triangle the known angle is 47°

The side length which is x units is opposite to the known angle.

We also know a side length 35 units which is adjacent to the given angle.

We use the tangent ratio to obtain,

`\tan(47 \degree) = (opposite)/(adjacent)`

`\tan(47 \degree) = (x)/(35)`

`x = 35\tan(47 \degree) = 37.53 \: units`