# Math Comic Strip

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#### Storyboard Text

• I will solve it!﻿
• ﻿Once upon a time on Pre Calculus class...﻿
• Today, we are going to start our lesson with three simple problems. Check the board.﻿
• 1) A person 100 meters from the base of a tree, observes that the angle between the ground and the top of the tree is 18 degrees. Estimate the height h of the tree to the nearest tenth of a meter.
• ﻿Katie, will you answer the next one?﻿
• ﻿Correct!
• 1)     tan(18o) = h / 100﻿ h = 100 tan(18o) = 32.5 meters
• ﻿Sure!﻿
• Great job!﻿﻿
• 2) If: r= ﻿﻿41; q= 28; Q= 39 degrees. Find angle R.﻿﻿
• ﻿﻿This is it for our class. Great job guys! See you next time.﻿
• 2)  sin R / r = sin Q / q sin R / 41 = sin(39°)/28 sin R = (sin(39°)/28) × 41 sin R = 0.9215... R = sin−1(0.9215...)  R = 67.1° ﻿﻿
• ﻿3) If: b=﻿﻿ 11; a=8; C= 37 degrees. Find side c.﻿
• Just right.﻿
• 3) c2 = a2 + b2 − 2ab cos(C) c2 = 82 + 112 − 2 × 8 × 11 × cos(37º) c2 = 64 + 121 − 176 × 0,798 c2 = 44,44 c = √44,44 = 6,67
• ﻿﻿THE END.
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