Question

the diagram shows a right angled triangle. 9cm 15cm x degrees. Find the size of angle x. Give your answer correct to 1 decimal place.​

Answer 1

31°

Explanation:

As the opposing side and adjacent side of the angle x are given, we need to take the tan ratio of the angle.

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Solving :

⇒ tan x° = 9/15

⇒ tan x° = 3/5

⇒ x = tan⁻¹ (0.6)

⇒ x = 31°

Answer 2

Given:

• Opp= 9 cm
• Adj= 15 cm

Note that:

• Opp= Opposite
• Adj= Adjacent

To find:

The size of the unknown angle "x"

Solution:

We'll have to check which is the appropriate one from SOHCAHTOA.

In this question we'll have to use tan because opposite and adjacent is given.

`\large\boxed{Formula: tan(A)= (opp)/(adj)}`

Substitute according to the formula.

`tan \: x= (9)/(15)`

We'll have to use tan inverse.

`x={tan}^(-1)((9)/(15))`

`x=30.96375653`

`\large\boxed{x=31° }`

Hence, the size of the unknown angle "x" is 31°