Transcript 8.3 Trigonometry - Cardinal O'Hara High School

8.3 Trigonometry
• Trigonometric Ratios
– Similar right triangles have equivalent ratios for
their corresponding sides.
Trigonometric Ratios
Using a Trigonometric Ratio to Find Distance
• In 1990, the Leaning Tower of Pisa was closed to the public due to safety
concerns. The tower reopened in 2001 after a 10-year project to reduce its
tilt from vertical. Engineers’ efforts were successful and resulted in a tilt of
5°, reduced from 5.5°. Suppose someone drops an object from the tower at
a height of 150 ft. How far FROM the base of the tower will the object
land? Round to the nearest foot.
x
tan 5 
150
x  150(tan 5 )
x  13.12329953
13 ft.
Inverses
• If you know the sine, cosine, or tangent ratio
for an angle, you can use an inverse
(sin-1, cos-1, tan-1) to find the measure of the
angle.
– See Example 3 on p. 509
More Practice!!!!!
• Homework – Textbook p. 510 – 511 #11 – 27
ALL.