Photo AI

Here is a right-angled triangle - OCR - GCSE Maths - Question 13 - 2019 - Paper 1

Question icon

Question 13

Here-is-a-right-angled-triangle-OCR-GCSE Maths-Question 13-2019-Paper 1.png

Here is a right-angled triangle. Not to scale 14 cm 20 cm Show that angle x is 35°, correct to the nearest degree.

Worked Solution & Example Answer:Here is a right-angled triangle - OCR - GCSE Maths - Question 13 - 2019 - Paper 1

Step 1

Calculate angle x using trigonometry

96%

114 rated

Answer

To find angle xx, we can use the sine function. In a right triangle, the sine of an angle is defined as the ratio of the length of the opposite side to the hypotenuse. Therefore, we have:

sin(x)=oppositehypotenuse=1420\sin(x) = \frac{\text{opposite}}{\text{hypotenuse}} = \frac{14}{20}

Calculating this gives:

sin(x)=0.7\sin(x) = 0.7

To find angle xx, we use the inverse sine function:

x=sin1(0.7)x = \sin^{-1}(0.7)

Using a calculator, we find:

x44.427x \approx 44.427^{\circ}

Since we need to show that angle xx is 35° correct to the nearest degree, we need to ensure we are interpreting the problem correctly and working with the correct values.

Step 2

Rounding to the nearest degree

99%

104 rated

Answer

Now, referring back to the need to find xx sufficiently correct to the nearest degree, we check:

  1. Calculate again:

    • Using sin1(0.7)\sin^{-1}(0.7) gives approximately 44.4°.
  2. However, revisiting calculations may hint at verifying assumptions about sides or further clarification in the situation. It's vital to ensure the opposite side correlates with an expected triangle layout or recount adjustments.

  3. The result shows approximate angles per recognized conditions, which can reveal instructional route discrepancies, suggesting revisiting values given in context.

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

;