Solve ?ABC

Question

Solve ΔABC

β=114.36

b=.607

c=.234

a? γ? and α?

 

2.)To determine the distance between two points A and B, a surveyor chooses a point C that is 345 yards from A and 415 yards from B. If ∠BAC has measure 49°30', approximate the distance between A and B. (Round your answer to the nearest whole number.)

 

3.)As shown in the figure below, a cable car carries passengers from a point A, which is 1.2 miles from a point B at the base of a mountain, to a point P at the top of the mountain. The angles of elevation of P from A and B are α = 23° and β = 75°, respectively. (Round your answers to one decimal place.)

 

(a)distance from a and p

(b) height of the mountain

 

4.)A straight road makes an angle of 15° with the horizontal. When the angle of elevation of the sun is 57°, a vertical pole at the side of the road casts a shadow a feet long directly down the road, as shown in the figure. Approximate the length of the pole, if a = 100. (Round your answer to two decimal places.)

 

PLEASE SHOW STEPS

 

 

Answer 1

Hello Karoulin,

Here is a roadmap to answering the questions. You will have to do the rest of the work.

 

1) Using the Sine rule and knowing the value of b,c and β , find γ. Then sum of the angles of a triangle is 180 so find  α. Now find a. Done

 

2) Use the same methosd as abovew to find angle ABC , then angle C and then side AB

 

Wishing you the best

 

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