## Yahoo! 3 years ago 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?

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