## Yahoo! A man wishes to estimate the distance of a near by tower first he measure the tower from a and next from b if basis is 100m and the angle is 40 find the distance between the man and the tower? one year ago one year ago

1. Yahoo!

By using parallax method!

2. agdgdgdgwngo

Do you have a picture/drawing of the man and the tower? :-D

3. Yahoo!

|dw:1340283794599:dw|

4. Yahoo!

|dw:1340283873172:dw|

5. Yahoo!

We have to find AC

6. Yahoo!

@agdgdgdgwngo help

7. agdgdgdgwngo

You can find the length of segment AC using trigonometric functions, since we are given the length of AB and the measure of angle ACB. Since $\tan(40)=\frac{AB}{AC}$ Solving for AC yields $AC = \frac{AB}{\tan(40)} = \frac{100}{\tan(40)}$ Work that out using a calcuator: http://www.wolframalpha.com/input/?i=100%2Ftan%2840%29

8. Yahoo!

thats where i was stuck we need to convert angle into radian

9. Yahoo!

or i dont know wat is tan 40

10. Yahoo!

@satellite73

11. agdgdgdgwngo

To convert from degrees to radians (and vice-versa) Degrees to radians:$\text{Angle in degrees} \times \frac{\pi}{180}$ Radians to degrees:$\text{Angle in radians} \times \frac{180}{\pi}$

12. siddhantsharan

You need to use the value of tan40. No other way. tan40 = 0.83

13. agdgdgdgwngo

Right; you obtain the value of tan 40 from a table (or better - a scientific calculator).

14. Yahoo!

hey during exam wat will i do calculators are not aloowed

15. Yahoo!

@siddhantsharan @agdgdgdgwngo

16. agdgdgdgwngo

Well, if the angle is not something like 0,30,45,60,90,120,135,150,180, and you are prohibited from using calculators, then most likely a table of sines/cosines/tangents will be provided.

17. shubhamsrg

you may use tan120 = tan3(40) and expand it forms a cubic eqn hmm..you can try to solve it but wont be that easy.. you may better make assumtion,,or use calculator,,why not leave answer in tan form ? note tan 45 = 1 and tan 30 = 1/sqrt3 = 0.6 approx so tan 40 should be something in between ,,maybe 0.8 and 0.9..hmm