Question

the angle of depression from the basketball hoop to claires eyes is 9.2 degrees. the vertical distance from the ground to claires eyes is 5.6 feet. using the diagram, find the height of the basketball hoop to the nearest tenth.
a. 3.5 feet
b. 3.6 feet
c. 9.1 feet
d. 9.2 feet

Answer 1

PLZzz HEELLLP!!!! will rewarrd with metal!!

Answer 2

alrite, so to begin, we will isolate that right triangle marked off with the little angle thing

Answer 3

We know that, in that right triangle, one of the legs measures 22 ft, and the angle (adjacent) to it, meausres 9.2 degrees

Answer 4

alright

Answer 5

what would be our goal to find in this triangle?

Answer 6

tell me which length you thing we need to find in the right traingle

Answer 7

u mean the height??

Answer 8

yea, so we need to find that little part that looks like this:

Answer 9

in order to do that, we will use the trigonometric function of tangent, which is equal to OPPOSITE/ADJACENT

Answer 10

In this case, \[\tan 9.2=\frac{ x }{ 22 }\] where x is that unkown length i highlighted up there^

Answer 11

does this make sense?

Answer 12

yea so do i just multiply acrooss 9.2 and 22??

Answer 13

well, not exaclty. You see, that "tan" thing is a function, so keep the "tan 9.2" the way it is, and simply do this:\[x=(\tan 9.2)(22)\]

Answer 14

But REMEMBER! there is that length that we did not yet account for, which is the girl's height, or 5.6 feet. Therefore, your final answer is equal to \[x+5.6\] or \[(\tan 9.2)(22)+5.6\]

Answer 15

evaluate this in your calculator and tell me your result

Answer 16

do i press tan on my calculator and then 22?? i tried it and said syntax error

Answer 17

press tan then 9.2, then multiply that RESULT by 22. then add 5.6 to that

Answer 18

tell me the result

Answer 19

9.12!!

Answer 20

i got that

Answer 21

not an option though

Answer 22

no, that doesnt sound right i'm getting something else

Answer 23

plug this into the calculator: tan(9.2)*(22)+5.6

Answer 24

tell me the result

Answer 25

i keep getting 9.2 );

Answer 26

9.2 is correct!!!!!!!

Answer 27

oh ok thx!!

Answer 28

its answer d. the exact result yields about 9.16, which rounds to 9.2!

Answer 29

thanks a lot !!! can u help me with 2 more questions?? plz

Answer 30

sure yes, just post them as new questions and tag me

Answer 31

ok