75% of the students who bought lunch yesterday ate chicken patties. If 120 students ate chicken patties, what was the total numb
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<em><u>Question:</u></em>
Set up a right triangle model for this problem and solve by using a calculator. Follow the models above,
A photographer stands 60 yards from the base of a lighthouse and observes that the angle between the ground and the top of the lighthouse is 41° How tall is the lighthouse?
<em><u>Answer:</u></em>
The height of lighthouse is 52.2 yards
<em><u>Solution:</u></em>
Given that photographer stands 60 yards from the base of a lighthouse and observes that the angle between the ground and the top of the lighthouse is 41 degree
The diagram is attached below
Consider a right angled triangle ABC
AB is the height of the lighthouse
BC is the distance between the base of a lighthouse and Photographer
As per given, BC = 60 yards
Angle between the ground and the top of the lighthouse is 41 degree
Angle ACB = 41 degree
To find: height of lighthouse i.e AB = ?
We know that,
Here Base is BC and perpendicular is AB
Substituting the values,
Thus the height of lighthouse is 52.2 yards
To find the slope<span> and y </span>intercept<span>, use the </span><span>y=mx+b</span> formula<span> where </span>m<span> is the </span>slope<span> and </span>b<span> is the y </span>intercept<span>.
</span><span>y=mx+b
</span>Pull the values of m<span> and </span>b<span> using the </span><span>y=mx+b</span> formula<span>.
</span><span>m=<span>7/2</span>,</span><span>b=−2</span><span> where m is the </span>slope<span> and b is the </span>y-intercept
</span><span>y=mx+b
</span>Pull the values of m<span> and </span>b<span> using the </span><span>y=mx+b</span> formula<span>.
</span><span>m=<span>7/2</span>,</span><span>b=−2</span><span> where m is the </span>slope<span> and b is the </span>y-intercept