# Right Triangle Trig Applications (Needs checking)

• Mar 9th 2011, 03:09 PM
MajorJohnson
Right Triangle Trig Applications (Needs checking)
Okay i'm doing h.w. right now and i'm trying to solve these without having to look at my notes:

The angle elevation of the sun is 40 degrees. To the neaest foot, find the height of a tree whose shadow is 35 ft long.

35 x tan (40) = 29 degrees

A washington monument is 555 ft high If you are standing one quarter of a mile or 1320 ft, from the base of the monument, and looking to the top, find he angle of elevation to the nearest degree.

-1 tan (555/1320) = 2 degrees

A road is inclined at an angle of 5 degrees. After driving 5000 ft along this road, find the driver's increase in altitude. Round to the neares foot.

This one and the next one, i'm a bit lost at going about solving. Would I use sin for this?

A telephone pole is 55 ft tall. A guy wire 88 ft long is placed from the ground to the top of the pole. Find the distance between the wire and the pole to the nearest degree.
• Mar 9th 2011, 03:31 PM
pickslides
Quote:

Originally Posted by MajorJohnson
Okay i'm doing h.w. right now and i'm trying to solve these without having to look at my notes:

The angle elevation of the sun is 40 degrees. To the neaest foot, find the height of a tree whose shadow is 35 ft long.

35 x tan (40) = 29 degrees

The 29 is correct but why did you say degrees?
• Mar 9th 2011, 03:34 PM
MajorJohnson
Oh, sorry I meant 29 ft.

• Mar 10th 2011, 11:22 AM
pickslides
Quote:

Originally Posted by MajorJohnson
Oh, sorry I meant 29 ft.

I get $\displaystyle \displaystyle \theta = \tan^{-1}\frac{555}{1320}= 22.8^o$

Use pythagora's thoerem for the third one.
• Mar 10th 2011, 12:26 PM
MajorJohnson
I must have misread my calculator when i punched it in, I had those exact steps written out.

For the third one, i've done this, not sure if its right though:

5000 x tan(5) = 437.4

a + 437.4 = 5000

4563 ft

On a side note, how did you get that problem to show up like that?