Answer:
<h2><u>
154°</u></h2>
Step-by-step explanation:
The central angle and the angle between the tangents are supplementary, so
x + 26° = 180° ( subtract 26° from both sides )
26 - 26 = 0
180 - 26 = <u>154</u>
x = <u>154°</u>
Hi there!
To solve, we must use the following trig identity:
sin(u - v) = sin(u)cos(v) - sin(v)cos(u)
We can rewrite the left hand side of the equation as:

Split the fraction:

First fraction reduces to 1:

Simpify each with common arguments:

Proportionality, assuming constant rate. 460 dives/12 hours = x dives/3 hours. Solve for x.