PLEASE HELP CAN'T WORKOUT THIS QUESTION

Question

A speed boat travels 80 km on a true bearing of 048° . Find how far east of

its starting point the speed boat is, correct to two decimal places.

(I tried x = 80xsin(48) but it gave me -61.46)

Answer 1

import math

"""

You were on the right track in your attempt,

but you mistakenly used sine instead of cosine.

Remember, SOH CAH TOA! Sine gives you the opposite

side from the angle, while we are actually looking

for the adjacent side. Also, make sure you convert

the angle from degrees to radians before putting

it into a trig function!

"""

# Given data from the problem

distance = 80 # total distance in km

bearing = 48 # bearing in degrees

# Calculate the eastward distance

# Convert bearing angle from degrees to radians

bearing_radians = math.radians(bearing)

east_distance = distance * math.cos(bearing_radians)

print(f"The speed boat is {east_distance:.2f} km east of its \

starting point.")

"""

Running this code should give you the following output:

The speed boat is 53.53 km east of its starting point.

""";