Answer:
I believe a=22
Step-by-step explanation:
a=4+4+4+2+8
a=8+4+2+8
a=12+2+8
a=14+8
a=22
The equation for cosine is <span><span><span>cos<span>(x)</span></span>=<span>Adjacent/Hypotenuse
</span></span></span>The inside trig function is <span><span>arccos<span>(<span>3/5</span>)</span></span></span>, which means <span><span><span>cos<span>(x)</span></span>=<span>3/5</span></span></span>. Comparing <span><span><span>cos<span>(x)</span></span>=<span>Adjacent/Hypotenuse</span></span></span> with <span><span><span>cos<span>(x)</span></span>=<span>3/5
</span></span></span>
Find <span><span>Adjacent=3</span></span> and <span><span>Hypotenuse=5.
</span></span>Then, using the Pythagorean theorem, find <span><span>Opposite=?
</span></span>a² = c² - b²
a² = 5² - 3² = 25 - 9 = 16
a = √16 = 4
<span><span>Adjacent=3</span></span><span><span>Opposite=4</span></span><span><span>Hypotenuse=5
</span></span><span>
Plug in the value for sin(x) = opposite/hypotenuse
sin(x) = 4/5 </span>
Answer:
64
Step-by-step explanation:
i calculated using https://www.calculator.net/triangle-calculator.html :/
Given that the two watchtowers spotted fire in the distance and watch tower 2 was 27 miles from the fire. Assuming that the fire is in the middle of both watch towers, then the distance between the two watch towers will be given by:
distance=[distance of fire from watch tower 1]+[distance of fire from watch tower 2]
=27+27
=53 miles