Consider the following figure.

a

Find the value of $x$`x`.

Round your answer to two decimal places.

b

Next, find the value of $y$`y`.

Round your answer to two decimal places.

c

Hence or otherwise, find the length of the base of the triangle.

Round your answer to two decimal places.

Easy

Approx 3 minutes

Sign up to try all questions

Use trigonometric ratios and Pythagoras’ theorem in two and three dimensions

Use a co-ordinate plane or map to show points in common and areas contained by two or more loci

Apply geometric reasoning in solving problems

Apply right-angled triangles in solving measurement problems

Apply knowledge of geometric representations in solving problems