Transcript TRIG ratios word problem solving

Warmup
Write each trig ratio as a simplified fraction and as a decimal
rounded to the nearest hundredth.
sinA
cosB
tanB
Find the
missing sides
Find angle a
Solving Trigonometry Word Problems
Applying Trigonometry to Everyday Life
MGSE9-12.G.SRT.8
Use trigonometric
ratios and the
Pythagorean Theorem
to solve right triangles
in applied problems.
I CAN:
*Interpret problems with
angles of elevation and
depression.
*Translate situations into
trigonometric ratios.
*Solve Problems using
trig and inverse trig ratios,
and the Pythagorean
Theorem.
Solving Trigonometry Word Problems
Applying Trigonometry to Everyday Life
Steps:
1. Draw a diagram.
2. Label the diagram with side lengths
and angles.
3. Set up the appropriate trig ratios.
4. Solve for the side or angle required.
5. Answer the problem being asked.
Solving Trigonometry Word Problems
Applying Trigonometry to Everyday Life
Angle of Elevation –
measured from the ground up.
An upward angle from a
horizontal line. It is always inside
the triangle.
Angle of Depression –
always outside the triangle. A
downward angle from an
imaginary horizontal line at the
top.
CHALLENGE
A helicopter is hovering 800 feet above
a road. A truck driver observes the
helicopter at a twenty degree angle.
Twenty five seconds later the truck
driver notices the angle of the
helicopter is now at sixty degrees. How
fast is the truck moving? Round your
answer to the nearest foot. What is the
truck’s speed in miles per hour?