Answer :
From my understanding you ahould use the trig function cos to solve this.
cos(c) = 15/25 or 0.6
if you have this following function on your calculator I suggest using it:
cos ^{ - 1}
by using the function like so:
cos^{ - 1} (0.6
you should get about 53.13° (rounding to the nearest hundredth)
Hope this helped.
Answer:
The approximate measure of angle ACB is 53.13°
Step-by-step explanation:
Given,
In the right triangle ABC,
AC = 25 cm,
BC = 15 cm,
Where, AC is the hypotenuse of the triangle,
⇒ ∠B = 90°
By the pythagoras theorem,
[tex]AB^2=AC^2-BC^2=25^2-15^2=625 - 225 = 400[/tex]
[tex]\implies AB=20\text{ cm}[/tex]
Now, by the law of sine,
[tex]\frac{sin C}{AB}=\frac{sin B}{AC}[/tex]
[tex]\implies sin C=\frac{AB\times sin B}{AC}[/tex]
By substituting the values,
[tex]sin C=\frac{20\times sin 90^{\circ}}{25}=\frac{20}{25}=0.8[/tex]
[tex]\angle C=53.1301023542\approx 53.13^{\circ}[/tex]
Hence, the approximate measure of angle ACB is 53.13°