A, B, C and D are on horizontal level ground and CT is vertical pole. B is 35 m due east of C, A is 60 m South of C and D is 60 m West of A.

Calculate the angle of elevation of T from N.

I m really suck...plz help

beats me -- where is N?

From Pyth thereom,AB =root (35^2+60^2)= 5 root(193)

Height CN=AC*CB/ AB= 60*35/ 5 root(193)= 420/root(193)

Now find CT
Tan40 = CT/ DC
But DC= 60 root 2 ( it is hyp of rt triangle ADC)

CT= DC tan 40= 60 root 2 * 0.84

Angle of elevation of TN is

Arc Tan(CT/CN)= Arc tan (60 root 2 * 0.84/420/root(193))

= Arc tan ( root 386 * 0.12)
= Arc tan ( 19.65 * 0.12)
= Arc tan (2.358)
= 67.02 deg

To calculate the angle of elevation of point T from point N in this scenario, we need to use trigonometry and some basic geometry.

Let's break down the given information:

- B is 35 meters due east of C.
- A is 60 meters south of C.
- D is 60 meters west of A.

To visualize the situation, let's draw a diagram:

T
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B------C-------D
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A
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N

In this diagram, CT is the vertical pole, and we need to find the angle of elevation of T from N.

To solve this problem, we will use the tangent function (tan):

Tan(angle) = Opposite / Adjacent

In this case, the opposite side is the vertical distance TC, and the adjacent side is the horizontal distance NC.

Now, let's calculate the lengths of TC and NC:

- We know that A is 60 meters south of C, and D is 60 meters west of A. Therefore, the vertical distance TC is the sum of AB and CD.
TC = AB + CD

- We need to find the lengths of AB and CD using the Pythagorean theorem:
AB = √(AC^2 - BC^2)
CD = √(AC^2 - AD^2)

- Let's substitute the given values:
BC = 35 m (given)
AC = TC + AB = TC + √(AC^2 - BC^2) = TC + √(TC^2 - BC^2) (since AB = TC)
AD = 60 m (given)

- Now, we can substitute these values into the equations for AB and CD:
AB = √((TC + √(TC^2 - BC^2))^2 - BC^2)
CD = √((TC + √(TC^2 - BC^2))^2 - AD^2)

- Simplifying and solving these equations will give us the values of AB and CD.

Finally, we can calculate the angle of elevation using the tangent function:

Angle of elevation = tan^(-1)(TC / NC)

Substitute the values of TC and NC into this equation to find the angle of elevation.