# 9.1: Right Triangle Trig

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Notes: Section 9.1 Right Triangle Trigonometry
Example 1: Evaluate the six trigonometric functions of the angle π.
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Example 2: In a right triangle, π is an acute angle and sin π = 7 . Evaluate the other five trigonometric
functions of π.
Monitoring Progress: Evaluate the six trigonometric functions of the angle π.
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4). In a right triangle, πis an acute angle and cos π = 10. Evaluate the other five trigonometric functions
of π.
Example 3: Find the value of π₯ for the right triangle.
** Figure out which of the three main trig functions you can fit the
given information, and the unknown into.
SOH CAH TOA
sin 30&deg; =
πππππ ππ‘π
π»π¦πππ‘πππ’π π
cos 30&deg; =
π΄πππππππ‘
π»π¦πππ‘πππ’π π
tan 30&deg; =
πππππ ππ‘π
π΄πππππππ‘
Example 4: Solve βπ΄π΅πΆ. (Solving a triangle is when you find all unknown side lengths and angles)
Monitoring Progress:
5) Find the value of x for the triangle shown.
Solve βπ΄π΅πΆ using the diagram and the given measurements.
6) π΅ = 45&deg;, π = 5
7) π΄ = 32&deg;, π = 20
8) π΄ = 71&deg;, π = 10
9) π΅ = 60&deg;, π = 7
Example 5: You are hiking near a canyon. While standing at A, you measure an angle of 90&deg; between B
and C, as shown. You then walk to B and measure an angle of 76&deg; between A and C. The distance
between A and B is about 2 miles. How wide is the canyon between A and C?
Example 6: A parasailer is attached to a boat with a rope 72 feet long. The angle of elevation from the
boat to the parasailer is 28&deg;. Estimate the parasailer’s height above the boat.
Monitoring Progress:
10) In example 5, find the distance between B and C.
11)What If? In example 6, estimate the height of the parasailer above the boat when the angle of
elevation is 38&deg;.
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