5.4 Solve Right Triangles

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Transcript 5.4 Solve Right Triangles

5.4
Solve Right Triangles
Vocabulary

To solve a right triangle means to find
the measures of all of its sides and angles.
Inverse Trigonometric Ratios:

You can use the inverse of the ratio to find
the missing angle measure.
Example 1:

Find the measure of X. Round to the
nearest tenth.
Example 2:

Approximate the measures of A and B
to the nearest tenth of a degree.
Example 3:

Find the missing measurements of the
right triangle shown in the diagram.
Round decimal answers to the nearest
tenth.
EXAMPLE 4
You Try:
Suppose your school is building a raked
stage. The stage will be 30 feet long from front
to back, with a total rise of 2 feet. A rake (angle
of elevation) of 5o or less is generally preferred
for the safety and comfort of the actors. Is the
raked stage you are building within the range
suggested?
You Try:

Solve the triangle
Homework:
p. 174 #13,14
p. 176 2-24 evens
p. 177 25-30