An archaeological site is to be made accessible for viewing by the public. To do this, archaeologists built two straight paths f
rom point A to point B and from point B to point C as shown in the following diagram. The length of path AB is 185 m, the length of path BC is 250 m, and angle B is 125°, diagram not to scale Archaeological Site a. Find the length of AC
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<u><em>Answer:</em></u>
He would need to climb 480.97 m
<u><em>Explanation:</em></u>
The ground, the plane to climb and the altitude (100 m) all form a right-angled triangle
Therefore, we can apply the special trig functions.
<u>These functions are as follows:</u>
sin(θ) =
cos(θ) =
tan(θ) =
<u>From the diagram, we have:</u>
θ = 12°
The distance that he needs to climb is the hypotenuse
The altitude = 100 m is the opposite
<u>Therefore, we can use the sin function as follows:</u>
sin(12°) =
hypotenuse =
hypotenuse = 480.97 meters to the nearest hundredth
Therefore, he would need to climb 480.97 meters
Hope this helps :)