Saturday

April 19, 2014

April 19, 2014

Posted by **Jad** on Sunday, January 16, 2011 at 1:09am.

Solve the following right triangles:

a. a=117 ft, b=16.35 ft

b. B=8 degrees 29',and a=32.8 ft

Reiny was kind enough to post this reply.

"solving" a triangle involves finding all missing sides and angles, so in

a) you found the sides, but still no angle.

tan B = 16.35/117 = 0.13974

angle B = 7.96°

subtract from 90° to find angle A

b) angle B = 8° 29' = (8+29/60)° = 8.48333°

tan 8.48333° = b/32.8

b= 4.892

now use Pythagoras to find the third side, and subtract angle B from 90 to get angle A

---but i am still having trouble with understanding the question and how the answers she posted were found .If u can explain to me in more details that would be great

- trigonometry -
**MathMate**, Sunday, January 16, 2011 at 8:48amThe best tool to solve trigonometry and geometry problems is to draw a diagram. Unless you are very capable of drawing images in your mind, it is always a good idea to draw the figure, label it with all the given information and add more information as you go along.

This practice will not only help you solve the current problem, but you will, in time, see a pattern that will help you solve future problems.

Try to draw a right triangle, and label all the information on the figure. Proceed to solve as Reiny suggested. You will have no problem understanding Reiny's solution.

If you have problems creating the figures, see:

http://img823.imageshack.us/img823/6568/1295158166.jpg

- correction -
**MathMate**, Sunday, January 16, 2011 at 8:49amThere is a mistake in the figure for part a. TanB=... should read tan

^{-1}....

**Related Questions**

trigonometry - Solve the following right triangles: a. a=117 ft, b=16.35 ft b. B...

math help! 1 question!!! - On a given blueprint, 1 inch = 16 feet. If the ...

Math - The measurements of a meadow were taken at 30 ft intervals. Use Simpson's...

Trigonometry - How much work is done by raising a 117-lb box vertically 18.0 ...

Math Analysis - What is the approximate horizontal distance traveled by a soccer...

Math - 4. A rectangular prism measuring 7 ft by 8 ft by 4 ft. a. 224 ft^3 b. 112...

math - A trapezoid has bases of 15 ft. and 9 ft. and a height of 8 ft. Find its ...

math - Find the volume of a pyramid whose base is 6 ft. by 5 ft. and has an 8 ft...

Trigonometry - Find the value of x on this right triangle when a=20 b=5x-10 and ...

Math - Trigonometry - Find the value of x on this right triangle when a=20 b=5x-...