Question

Given that y= 7 cm and θ= 49 °, work out x rounded to 1 DP. (not drawn to scale.)

Answer 1

The value of x in the diagram is 6.1 cm.

What is right-angle triangle?

A right-angle triangle is a triangle that has 90° as one of the angles in the triangle.

To calculate the value of x in the right-angled triangle above, we use the formula below

Formula:

• tanθ = y/x............ Equation 1

Make x the subject of equation 2

• x = y/tanθ............. Equation 2

From the question,

Given:

• θ = 49°
• y = 7 cm

Substitute these values into equation 2

• x = 7/tan49°
• x = 7/1.15
• x = 6.1 cm

Hence, the value of x in the diagram is 6.1 cm.

Learn more about right-angled triangle here: brainly.com/question/64787

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