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RIGHT TRIANGLE

ABCD is the end wall in an attic.  Segment AB is the sloping ceiling.

Where; AD = 1600 mm; <A = 56 degrees

Ramona decides to hide a large gift box, DEGF, in the attic. If the box is 600 mm high, what is its length?

Solutions:

Find the length of AF.>

1600 mm - 600 mm = 1000 mm, so AF is 1000 mm long.

Find the length of FG.

You know the size of one angle, 56o, and the length of the adjacent side, 1000 mm. You need to know the length of the side opposite the 56o angle.

The tangent relates opposite and adjacent sides.

tan 56o= opp/adj = FG/AF = FG/1000

FG = 1.4826 x 1000 = 1482.6 mm

The length of FG is 1.4826 m long.

2. Solve the right triangle shown given; (b) if b = 8 and a = 13.

SOLUTIONS:

Spherical Trigonometry Problems

1. Solve for the spherical triangle whose parts are a = 73°, b = 62°, and C = 90°.

To solve for angle A, use rule for b

To solve for side c, use rule for 

To solve for angle B, use rule for a

LOGARITHMIC AND EXPONENTIAL PROBLEMS

1.

SOLUTION:

= Step 1

= Step 2

= Step 3

= Step 4

= Step 5

= Step 6

There are two exact answer:  and  and there are two approximate answers:

This is the valid answer : = Ans

2.

= Step 1

= Step 2

= Step 3

= Step 4

= Ans

3.

= Step 1

= Step 2

= Step 3

= Ans

4.

= Step 1

= Step 2

= Step 3

= Step 4

= Step 5

= Step 6

= Step 7

= Step 8

Therefore, 9 is the only solution.