Solution 4.2:2e
From Förberedande kurs i matematik 1
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| - | {{  | + | This exercise is somewhat of a trick question, because we don't need any trigonometry to solve it.  | 
| - | <  | + | |
| - | {{  | + | Two angles are given in the triangle (the   | 
| + | <math>\text{6}0^{\circ }</math>  | ||
| + | angle and the right-angle) and thus we can use the fact that the sum of all the angles in a triangle is   | ||
| + | <math>\text{18}0^{\circ }</math>,  | ||
| + | |||
| + | |||
| + | <math>v+60^{\circ }+90^{\circ }=180^{\circ }</math>  | ||
| + | |||
| + | |||
| + | which gives  | ||
| + | |||
| + | |||
| + | <math>v=180^{\circ }-60^{\circ }-90^{\circ }=30^{\circ }</math>  | ||
Revision as of 11:35, 28 September 2008
This exercise is somewhat of a trick question, because we don't need any trigonometry to solve it.
Two angles are given in the triangle (the \displaystyle \text{6}0^{\circ } angle and the right-angle) and thus we can use the fact that the sum of all the angles in a triangle is \displaystyle \text{18}0^{\circ },
\displaystyle v+60^{\circ }+90^{\circ }=180^{\circ }
which gives
\displaystyle v=180^{\circ }-60^{\circ }-90^{\circ }=30^{\circ }
