Question

The diagram shows a right angled triangle. 7cm and 11cm and x degrees. Find the size of angle x. Give your answer correct to 1 decimal place.​

Answer 1

Answer:

50.5°

Step-by-step explanation:

Since the adjacent side and the hypotenuse of the triangle are given, we need to take the cos ratio of the angle x.

============================================================

Solving :

⇒ cos x° = 7/11

⇒ x = cos⁻¹ (7/11)

⇒ x = 50.5°

Answer 2

Given:

• Hyp= 11 cm
• Adj= 7 cm

Note that:

• Hyp= Hypotenuse
• Adj= Adjacent

To find:

The size of the unknown angle "x".

Solution:

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

In this question we'll have to use cos because hypotenuse and adjacent is given.

$\large\boxed{cos(A)=\frac{adj}{hyp}}$

Substitute according to the formula.

$cos \: x= \frac{7}{11}$

We'll have to use cos inverse.

$x={cos}^{-1}(\frac{7}{11})$

$x=50.47880364$

$\large\boxed{x=50.5°}$

Therefore, the size of the unknown angle "x" is 50.5°