Geom Section 9.3 Trig Applications

Geom Section 9.3 Trig Applications

​Using Sine, Cosine and Tangent to solve application problems

How do we use angles of elevation and angles of depression to solve trigonometric problems?

How deeply do you think about trigonometry?

Let's Check your THINKING.

Fill in the Blanks

What angle measure has a tangent ratio of 1?

Multiple Choice

If the sine of one angle is equal to the cosine of another angle, what does that tell you about the two angles?

• They are equal

• They are complements

• They are supplements

• They are both obtuse angles.

Multiple Choice

What is the relationship between the tangents of two angles in the same right triangle?

• They are equal

• They are reciprocals

• They are opposites

• Don't be silly, there is no relationship.

Multiple Choice

What do you notice about the two angles in the picture?

• They are alternate interior angles and therefore complementary to each other.

• They are same side interior angles and therefore EQUAL to each other.

• They are alternate interior angles and therefore EQUAL to each other.

• They are corresponding angles and therefore EQUAL to each other.

Multiple Choice

Is angle 1 an angle of elevation or depression?

• Angle of elevation

• Angle of depression

Multiple Choice

Is angle 2 an angle of elevation or depression?

• Angle of elevation

• Angle of depression

Multiple Choice

Is angle 7 an angle of elevation or depression?

• Angle of elevation

• Angle of depression

Multiple Choice

Is angle 6 an angle of elevation or depression?

• Angle of elevation

• Angle of depression

​Draw yourself a picture and solve this

problem together in your notes.

Multiple Choice

When the suns angle of elevation is 38 degrees the building casts a shadow of 45 meters. How tall is the building?

• 35.2 m

• 27.7 m

• 35.5 m

• 38 m

Multiple Choice

From the top of a lighthouse that is 20 m tall, a sailboat is spotted at a 4 degree angle of depression. How far from the spotter at the top of the lighthouse is the boat? (measure the hypotenuse)

• 1.4 m

• 286 m

• 287 m

• 3820

Fill in the Blanks

A road with a 7% grade would have

feet of rise for every hundred feet of run.

Fill in the Blanks

A road with a 7% grade would have an angle of elevation of how many degrees?.

Fill in the Blanks

A road with a 7% grade runs for 3 miles. How many feet of rise will the road gain to the nearest foot? (answer with just a number. No units or commas needed)

Homework

• Formative 9.3