Photo AI

Work out the value of x - Edexcel - GCSE Maths - Question 5 - 2022 - Paper 2

Question 5

Work out the value of x. Give your answer correct to 3 significant figures.

Worked Solution & Example Answer:Work out the value of x - Edexcel - GCSE Maths - Question 5 - 2022 - Paper 2

Step 1

Using Trigonometric Ratios

96%

114 rated

Answer

To find the value of x, we will use the cosine function from trigonometry. In a right triangle, the cosine of an angle is defined as the adjacent side over the hypotenuse.

For angle 53 degrees:

$\cos(53^\circ) = \frac{x}{14.5}$

Rearranging gives us:

$x = 14.5 \cdot \cos(53^\circ)$

Step 2

Calculating x

99%

104 rated

Answer

Now, we proceed to calculate the value of x:

Using a calculator:

$\cos(53^\circ) \approx 0.6018$

Thus,

$x \approx 14.5 \cdot 0.6018 \approx 8.71$

Rounding this to 3 significant figures gives us:

$x = 8.71 \text{ cm}$

Join the GCSE students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;