Finding the lengths?

soccergirl23

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May 24, 2011
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Please explain how you got the answer. :)

1. A ladder leans against a building forming an angle of 55 degrees with the ground as shown in the diagram. The base of the ladder is 5 feet from the building. What is the length of the ladder?

2. A large totem pole near Kalama, Washington, is 106 feet tall. At a particular time of day, the angle of elevation to the top of the pole from the end of the shadow it casts is 23 degrees. What is the length of the shadow? Round to the nearest tenth.

3. A large totem pole near Kalama, Washington, is 106 feet tall. At a particular time of day, the angle of elevation to the top of the pole from the end of the shadow it casts is 29 degrees. What is the length of the shadow? Round to the nearest tenth.
 
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Your #2 and #3 problems are identical...
 
soccergirl23 said:
Please explain how you got the answer. :)

1. A ladder leans against a building forming an angle of 55 degrees with the ground as shown in the diagram. The base of the ladder is 5 feet from the building. What is the length of the ladder?

Use definition of secant (or cosine ) of an angle.

2. A large totem pole near Kalama, Washington, is 106 feet tall. At a particular time of day, the angle of elevation to the top of the pole from the end of the shadow it casts is 23 degrees. What is the length of the shadow? Round to the nearest tenth.

Use the definition of tangent of an angle

3. A large totem pole near Kalama, Washington, is 106 feet tall. At a particular time of day, the angle of elevation to the top of the pole from the end of the shadow it casts is 29 degrees. What is the length of the shadow? Round to the nearest tenth.

Use the definition of tangent of an angle
 
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