1. ## 2 trig Questions

#1
A tunne must be constructed through a mountain. The angle of elevation from one side of the mountain is 38.2 . The angle of elevation fromthe other side of the mountain is 27.4 . The height of the mountain is 575m. What is the lenght of the tunnel through this mountain ?

Is the other end of the mountain the upper corner of a right triangle, or the lower ? ANd does anyone have the formula or a similar question I could copy the steps from ?

#2
A vertical light pole on a hillside casts a shadow of 55m long down the hill. If the angle of elevation of the sun is 48.3 and the angle of incilination of the hill is 21.4 . Find the height of the pole.

I know what the angle of elevasion and depression is, but what is the angle of incillination ? I dont get this question.

Fast answeres would be nice, its almost 3 am and i can barely force my yeyes to be open: Due date of this Assignment is tomorrow, its an online submission which has to happen before 11 am

2. Q1) I think the answer should be = 575*Cot(38.2) + 575*cot(27.4)

3. #1
A tunne must be constructed through a mountain. The angle of elevation from one side of the mountain is 38.2 . The angle of elevation fromthe other side of the mountain is 27.4 . The height of the mountain is 575m. What is the lenght of the tunnel through this mountain ?

the figure is attached

4. #2
A vertical light pole on a hillside casts a shadow of 55m long down the hill. If the angle of elevation of the sun is 48.3 and the angle of incilination of the hill is 21.4 . Find the height of the pole.

see the bigure below

5. Originally Posted by sumit2009
Q1) I think the answer should be = 575*Cot(38.2) + 575*cot(27.4)

Cant find cot in any online calculator :S

6. Found out that cot = 1/tan(x)

using this my output is:

((1 / tan(575)) * 38.2) + ((1 / tan(575)) * 27.4) = 738.934121

So the lenght of the tunnel is 738.9 m.

Does "*" represent the degree sign ?

Right or wrong ?

7. Originally Posted by Serialkisser
Found out that cot = 1/tan(x)

using this my output is:

((1 / tan(575)) * 38.2) + ((1 / tan(575)) * 27.4) = 738.934121

So the lenght of the tunnel is 738.9 m.

Does "*" represent the degree sign ?

Right or wrong ?
question-1

[/I][/COLOR]575*Cot(38.2) + 575*cot(27.4) { here * represents multiplication not degree sign}

i.e. 575 X Cot(38.2degree) + 575 X cot(27.4degree)

or, 575 / tan(38.2degree) + 575 / tan(27.4degree)

8. tan(38.2degree) = 0.7869
tan(27.4degree) = 0.5183

575 / 0.7869 +575/0.5183
=(1109.39+730.69)
=1840.08 m approx

9. Originally Posted by sumit2009
question-1

[/i][/color]575*Cot(38.2) + 575*cot(27.4) { here * represents multiplication not degree sign}

i.e. 575 X Cot(38.2degree) + 575 X cot(27.4degree)

or, 575 / tan(38.2degree) + 575 / tan(27.4degree)

(575 / tan(38.2 degree)) + (575 / tan(27.4 degree)) = 1 839.98211

So the Tunnel is 1 839.98211 m

Correct ?

10. Originally Posted by Serialkisser
(575 / tan(38.2 degree)) + (575 / tan(27.4 degree)) = 1 839.98211

So the Tunnel is 1 839.98211 m

Correct ?

YES........