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**Section 2 – Right Triangle Trigonometry**

Word Problems

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**A surveyor is standing 50 feet from the base of a large tree**

A surveyor is standing 50 feet from the base of a large tree. The surveyor measures the angle of elevation to the top of the tree as . How tall is the tree? X 50

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**A 40-foot flagpole casts a 30 foot shadow. Find the angle of**

elevation of the sun. 40 30

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From a point 50 feet away from the entrance to Lincoln-Way East, Yugo measured the angle of elevation to the top of the building to be How tall is the building? X 50

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**Pat wanted to measure the height of the flagpole at Lincoln-Way East**

Pat wanted to measure the height of the flagpole at Lincoln-Way East. From a point, he measured the angle of elevation of the flagpole to be He then moved back 15 feet and found the angle of elevation from there to be How tall is the flagpole? X 15 y

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feet

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A student looks out a second-story window and sees the top of the flagpole at an angle of elevation of The student is 18 feet above the ground and 50 feet from the flagpole. Find the height of the flagpole. X 50 18

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From points A and B, 10 feet apart, the angle of elevation of the top of a tower are and Find the tower’s height. X 10 A B y

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X = feet

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8.7 APPLICATIONS OF RIGHT TRIANGLE TRIGONOMETRY Some critical terminology Horizontal any line constructed so that it is parallel with the horizon or.

8.7 APPLICATIONS OF RIGHT TRIANGLE TRIGONOMETRY Some critical terminology Horizontal any line constructed so that it is parallel with the horizon or.

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