# Lesson 6 More Than Right Develop Understanding

Find the area of each triangle.

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Solve the following application problems using right triangle trigonometry.

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Students in a high school mathematics class were given the following problem.

While traveling across a flat stretch of desert, Joey and Holly make note of the top of a butte* in the distance that seems to be directly in front of them. They estimate the angle of elevation to the top as

* Buttes are tall, flat-topped, steep-sided towers of rock.

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Rework problem 6. This time use

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The situation in problem 6 included approximating angles, so rounding didn’t matter very much. Consider a situation where Joey and Holly were serious rock climbers and were planning on scaling the face of the butte, and they had used an inclinometer* to measure the angles of elevation accurately. Describe the difference between rounding to one decimal place and rounding to four or more decimals.

* An inclinometer is an instrument used for measuring angles of slope, elevation, or depression of an object with respect to a plane.

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The Star Point Ranger Station and the Twin Pines Ranger Station are

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In problem 9 we had two expressions that were both equal to

Explain why they were not exactly equal. Does it matter if this application were real life? Why or why not?

Solve for the missing sides and angles in the right triangles. Write answers in radical form. Do NOT use a calculator.

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Write a rule for finding the sides of an isosceles right triangle when you know the hypotenuse and the measure of the hypotenuse does NOT show a

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Write a rule for finding the missing sides in a

Fill in the missing measurements.

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Fill in the ratios for the given functions. Do not use a calculator. Answers should be in radical form.