## anonymous one year ago From a point 300ft from a building, the angle of elevation to the base of an antenna on the roof is 32.7 degrees. The angle of elevation to the top of the antenna is 42.3 degrees. What is the height of the antenna alone? Would this be a situation for csc sec and cot?

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1. campbell_st

so have you drawn a diagram... its always a good start

2. anonymous

|dw:1433277289602:dw|

3. anonymous

@campbell_st

4. anonymous

i don't know which one I would use :/

5. campbell_st

so find x, using the tan ratio |dw:1433277260515:dw|

6. campbell_st

well you have the adjacent and need to find the opposite...?

7. campbell_st

so which ratio uses opposite and adjacent..?

8. anonymous

tan

9. campbell_st

great so $\tan(32.7) = \frac{x}{300}$ solve for x

10. campbell_st

repeat the process to the top of the antenna |dw:1433277446569:dw| this time find y. The height of the antenna is y - x hope it helps...

11. anonymous

tan(32.7) = .64 * 300 for x? so 192.6 for the first one

12. campbell_st

great... so repeat the process... to find y... then you can find the height of the antenna alone hope it makes sense

13. anonymous

thank you

14. anonymous

80.378 is the height of the radar :)

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