Download Pre-AP Geometry 7.7 HW – Applying Trig Ratios to solve Right

Pre-AP Geometry
7.7 HW – Applying Trig Ratios to solve Right Triangles
Use a calculator to estimate the measure of ∠A to the nearest tenth of a degree.
1. m∠A =
2. m∠A =
3. m∠A =
4. m∠A =
5. m∠A =
6. m∠A =
Find each of the missing angles and side lengths of the triangles in #7-15.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17. If
√ , then what is m∠A?
If
√ , then what is m∠B?
18. Explain why it is incorrect to say that
Use the Table of Trigonometric Ratios on page 925 of your textbook to answer questions #19-22.
19. What angles have nearly the same sine and tangent
20. What angle has the greatest difference in its sine and
value?
tangent value?
Use your 10cm circle to explain why that is the case.
21. What angle has a tangent value that is double its sine
value?
Use your 10cm circle to explain why that is the case.
22. Is
why or why not.
Use your 10cm circle to explain why that is the case.
23. The perimeter of rectangle ABCD is 16cm, and the
ratio of its width to its length is 1:3. Segment BD
divides the rectangle into two congruent triangles.
Find the side lengths and angle measures of one of
these triangles.
24. PROOF
? Use your 10cm circle to explain