Answer:
Step-by-step explanation:
Look at the File I attached. The Question says that a car travels 76 km north then 25 km east. Now think of this as the Right angled triangle I attached in the file.
a) Bearing from the staring point to the means the degrees of the part i marked with a question mark.
Now SOH CAH TOA
76 km is the ADJACENT
25 km is the OPPOSITE
and x is the HYPOTENUSE
We have the values of the ADJACENT and the OPPOSITE.
Now see which rule has both, It is TOA(tan rule) which is:
tan(y) = OPPOSITE/ADJACENT (y is the degrees we will get)
tan(y) = 25/76 ( opposite of the degree we need is 25 and adjacent is 76)
tan inverse(25/76) = y (inverse will be given as to the power -1 on the calculator)
FINAL ANSWER OF (a) = 18.21°
b) This part is asking for the length of the hypotenuse, which i denoted as x in the attached file.
For this part, you will use the Pythagoras Theorem
Which is :
a² + b² = c²
Where c is the hypotenuse and a and b are the opposite and adjacent.
So
76² + 25² = x²
6401 = x²
√6401 = x
x = 80.01
