Transcript Chapter 7.5 Notes: Apply the Tangent Ratio

Chapter 7.5 Notes: Apply the
Tangent Ratio
Goal: To use the tangent ratio to determine
side lengths in triangles.
Using the Tangent Ratio:
A trigonometric ratio is a ratio of the lengths of two
sides in a right triangle.
You will use trigonometric ratios to find the measure
of a side.
The ratio of the lengths of the legs in a right triangle is
constant for a given angle measure. This ratio is
called the tangent of the angle.
Ex.1: Find tan S and tan R. Write each answer as a
fraction and as a decimal rounded to four decimal
places.
Ex.2: Find tan J and tan K. Round to four decimal
places.
• Find the value of x. Round to the nearest tenth, if
necessary.
Ex.3:
Ex.4:
Ex.5: Find the height h of the lamppost to the nearest
inch.
Ex.6: A surveyor is standing 118 feet from the base of
the Washington Monument. The surveyor measures
the angle between the ground and the top of the
monument to be 78o. Find the height, h, of the
Washington Monument to the nearest foot.
Ex.7: Find the value of x. Round to the nearest tenth,
if necessary.
Ex.8: Find the value of x. Round to the nearest tenth,
if necessary.
9
17o
x
Ex.9: Find the tangent of a 60o angle.