Oblique triangle; Drop a perpendicular line from point C to the line A-B and make it's length 151.07'; A = 29° 45' 12"; B = 11° 32' 48".

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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I'm having trouble with the following problem in the picture. I am able to figure out all the angles but unsure what steps to take to find the sides. I've tried seperating the two "new" triangles and solving through Sin, Cos & Tan but when I check my work it's all wrong. Thank you for help in advance! 

a²
B
10
C²
b²
b
Opposite
(Rise)
90°
Hypotenuse
a
Adjacent
(Run)
For the following triangles, using trigonometry, solve for the lengths of all sides not given, and
all angles not given. Use the above sketches to define variables, though the triangles may be out
of scale based on the data.
Transcribed Image Text:a² B 10 C² b² b Opposite (Rise) 90° Hypotenuse a Adjacent (Run) For the following triangles, using trigonometry, solve for the lengths of all sides not given, and all angles not given. Use the above sketches to define variables, though the triangles may be out of scale based on the data.
Oblique triangle; Drop a perpendicular line from point C to the line A-B and make it's
length 151.07'; A = 29° 45' 12"; B = 11° 32' 48”.
Transcribed Image Text:Oblique triangle; Drop a perpendicular line from point C to the line A-B and make it's length 151.07'; A = 29° 45' 12"; B = 11° 32' 48”.
Expert Solution
Step 1: Analysis and Introduction

Given Information:

The length of the perpendicular from C to AB has the length 151.07.

Angle A=254512 and B=113248.

To find:

The missing angles and the missing sides.

Concept used:

i) An oblique triangle is a triangle with no right angle. 

   An oblique triangle has either three acute angles, or one obtuse angle and two acute angles.

ii) Tangent of the angle θ represents the ratio of its opposite to the adjacent side of a right triangle.

iii) Sine of the angle θ represents the ratio of its opposite to the hypotenuse side of a right triangle.

iv) Sum of the angles in a triangle is 180.

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