Finding an Angle Using another Angle
Problems 1 through 14 refer to right triangle $A B C$ with $C=90^{\circ}$. Begin each problem by drawing a picture of the triangle with both the given and asked for information labeled appropriately. Also, write your answers for angles in decimal degrees.
9. If $a=16 \mathrm{~cm}$ and $b=26 \mathrm{~cm}$, find $A$.
Pythagorean Theorem
The length of a shadow of a building is $26 \mathrm{~m}$. The distance from the top of the bullding to the tip of the shadow is $35 \mathrm{~m}$. Find the height of the bullding. If necessary, round your answer to the nearest tenth.
Explanation
Recheck
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Finding the Sine
2. Solve the triangle, given the information below. If more than one triangle is possible, give both solutions. If no triangle is possible, state that there is no solution. Give numerical answers to the nearest tenth. $B=32^{\circ}, b=50, c=60$
Finding the Cosine
If $\cot (x)=\frac{5}{11}$ (in Quadrant-I), find
\[
\cos (2 x)=
\]
Fraction
Finding the Tangent
Find $\tan (2 A)$, if $\tan (A)=-\frac{11}{60}$, and $A$ is in quadrant 4 .
Write in fraction form
Finding the Trig Value
Jackie is standing at the edge of a $150 \mathrm{~m}$ cliff that overlooks a large forest. When she looks over the forest she can see two ranger stations. She measures an angle of depression of $35^{\circ}$ to the first ranger station. She also measures an angle of depression of $20^{\circ}$ to the second ranger station. Lastly, she measures the angle between the two ranger stations to be $40^{\circ}$. How far apart are the two ranger stations to the nearest metre?