³ | Problem |
Find angle a in the right triangle below. Then find the length of the hypotenuse h and angle b. Measurements of length and height are in meters. Round off results to one decimal place.
b h
3
a
7
Remember 3/7=tan a, so a=tanL1(3/7). Then 3/h=sin a, so h=3/sin a. Then 7/h=sin b, so b=sinL1(7/h).
%t1 e!3 =7 O V
e%uOV
3=%uV
e"7 =%uOV
tan- (3ñ7) ß
.1: ,-23/.2
sin(Ans) ß
.1: ,-/0.4
3ñAns ß
.1: ,-/7.6
sin- (7ñAns) ß
.1: ,-66/.8
Angle a is about 23.2 degrees. The hypotenuse h is about 7.6 meters. Angle b is about 66.8 degrees.
21
Ti36eng1.doc