Topics
10. Right Triangles & Trigonometry
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United States of AmericaUT
Math II

10.07 Further applications of trigonometry

Lesson
Practice

Interactive practice questions

Consider the following figure.

A scalene triangle is divided into two by an internal segment represented by a dashed line which measures 5 and is perpendicular to the base of the triangle. A right triangle is formed on the right hand side which has a hypotenuse of 10 and its base is labeled as y. Another right triangle is formed on the left hand side which has a hypotenuse of 7 and its base is labeled as x.

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
3min

Consider the following diagram.

Easy
3min

Consider the following trapezoid.

Easy
3min

Consider a cone with slant height $13$13m and perpendicular height $12$12m.

Easy
1min
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Outcomes

II.G.SRT.8

Use trigonometric ratios and the pythagorean theorem to solve right triangles in applied problems.

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