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Geometry
Intro to Tangent Trig Ratios
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1. To measure the height of The Oread, you walk 310.5 feet from the front door and measure a 20o
angle from the ground to the top of the building. Estimate the height of The Oread. Round to the
nearest tenth if necessary.
113 ft.
2. Standing 30.9 feet from the south side of Allen Fieldhouse and looking up at a 70o angle, you could
find that the height to the peak of the roof is __________ feet.
85 ft.
3. Standing on the sidewalk in front of the Granada (34 feet from the front door) you measure a 45o
angle from the ground to the top of the marquee sign. How tall does the sign stand? DRAW A
PICTURE!!!
34 ft.
4. You measure a 50o angle from the ground to the top of the Liberty Hall building downtown while
standing 35.2 feet in front of the doors. How tall is Liberty Hall? DRAW A PICTURE!!!!
42 ft.
5. You can estimate the height of the Eldridge Hotel by standing 32.9 feet from the front of the
building and measuring a 60o angle to the top of the building. Draw a picture to demonstrate this
and use trigonometry to estimate the height of the Eldridge.
57 ft.
6. To measure the height of the Eiffel Tower, you measure a 40o angle from the ground to the top of
the tower while standing 1175.1 feet from the base of the tower. How tall is the Eiffel Tower.
986 ft.
7. You stand 1047.9 feet from the base of the Seattle Space Needle. From the ground to the top of
the needle you measure a 30o angle. Calculate the height of the Seattle Space Needle. Label the
diagram!
605 ft.