a car travels 1.2 miles from point a to point b. the car then turns at point b and travels 1.8 miles to point c before heading b

Question

2 months ago

6

ack to point a. the distance from point point c to point a is 1.6 miles. if the cars path is represented by a triangle what angle turn

2 answers:

PIT_PIT [12.4K] · Answer 1 · 2026-04-06T16:10:23+03:00

Response:

Since we have the triangle’s three sides given and we need to find the angle, the cosine law can be applied.

b² = a² + c² - 2ac(cosB)

Substituting the known values,

(1.8)² = (2.4)² + (1.6)² - 2(2.4)(1.6)(cosB)

The angle B from this calculation results in 48.6°.

tester [12.3K] · Answer 2 · 2026-04-06T16:11:48+03:00

3 0

Response:

B = 60.6 degrees

Step-by-step explanation:

Side AB, c = 1.2 miles

Side BC, a = 1.8 miles

Side CA, b = 1.6 miles

Apply the cosine rule to determine angle B.

$Cos B = \frac{a^{2}+c^{2}-b^{2}}{2ac}$

Plugging the values of a, b, and c

$Cos B = \frac{1.8^{2}+1.2^{2}-1.6^{2}}{2\times 1.8\times 1.2}$

$Cos B = \frac{3.24+1.44-2.56}{4.32}$

$Cos B = 0.491$

B = 60.6 degrees