Geometry A Exam | Unit 6

Use △XYZ,△XYZ, in which ∠X∠X is a right angle and tanY=815.tan⁡Y=815. © 2016 StrongMind. Created using GeoGebra. What is the ratio for sinY? Enter your answer as a fraction in simplest form, like this: 4/25

8/17

In right triangle PQR,PQR, ∠P∠P is a right angle, m∠R=58∘,m∠R=58∘, and QR=15.QR=15. sin58∘≈0.848 cos58∘≈0.530 tan58∘≈1.600 © 2019 StrongMind. Created using GeoGebra. What is the measurement of PQ? If necessary, round your answer to two decimal places, like this: 42.53

12.72

Meg is walking around her neighborhood. She stands 150150 meters from the grocery store, and she wants to know the distance between the store and the bank. sin⁡42.71∘≈0.678 cos⁡42.71∘≈0.735 tan⁡42.71∘≈0.923 © 2019 StrongMind. Created using GeoGebra. Which answer is closest to the distance between the store and the bank?

162.5

Andrew wants to measure the height of a traffic light. He walks exactly 2020 feet from the base of the traffic light and looks up at it. The angle from his eyes to the top of the traffic light is 40∘.40∘. Andrew's eyes are at a height of 55 feet when he looks up. How tall is the traffic light? sin⁡40∘≈0.643 cos⁡40∘≈0.766 tan⁡40∘≈0.839 © 2019 StrongMind. Created using GeoGebra. The traffic light is approximately _[blank]_ feet tall. Enter your answer as the correct value, rounded to the nearest hundredth, like this: 42.53 Do not enter units.

21.8

Violeta wants to install new tiling in her kitchen. She places two triangular tiles together as shown in the following figure. In order to plan her installation, she needs to find the length of BC. © 2016 StrongMind. Created using GeoGebra. The length of BC is _[blank]_ units. Enter the value that correctly fills in the blank.

25

Use △ABC,△ABC, in which AB=37,AB=37, AC=35,AC=35, and BC=12,BC=12, to answer the question. © 2019 StrongMind. Created using GeoGebra. What is the ratio for tanB? Enter your answer as a fraction in simplest form, like this: 4/25

35/12

In right triangle ABC,ABC, ∠C∠C is a right angle, m∠B=70∘,m∠B=70∘, and AB=13.AB=13. sin⁡70∘≈0.94cos⁡ 70∘≈0.34 tan⁡70∘≈2.75 © 2019 StrongMind. Created using GeoGebra. What is the measurement of BC? If necessary, round your answer to one decimal place, like this: 42.5

4.4

Use the diagram to answer the question. © 2019 StrongMind. Created using GeoGebra. What is the measure of ∠E? Enter the correct value.

45

Use △ABC,△ABC, in which AB=48,AB=48, AC=64,AC=64, and BC=80,BC=80, to answer the question. © 2016 StrongMind. Created using GeoGebra. What is the ratio for cosB? Enter your answer as a fraction in simplest form, like this: 4/25

48/80

Consider the following triangle. © 2016 StrongMind. Created using GeoGebra. Based on the given information, what is the measure of the missing length, c? Enter your answer as a number like this: 42

5

Melody lives 3030 miles due south of her cousin's house and 4040 miles due west of her grandparents' house. One day, she drove to her cousin's house in a straight line from her grandparents' house. How far did she drive? © 2016 StrongMind. Created using GeoGebra. Melody drove _[blank]_ miles. Enter the value that correctly fills in the blank.

50

In right triangle RST,RST, ∠T∠T is a right angle, m∠S=41∘,m∠S=41∘, and ST=8.ST=8. sin⁡41∘≈0.656 cos⁡41∘≈0.755 tan⁡41∘≈0.869 © 2019 StrongMind. Created using GeoGebra. What is the measurement of RT? Enter the correct value. If necessary, round your answer to two decimal places, like this: 42.53

6.95

Use the figure and information to complete steps 5 through 8 in the proof. Given: △ABC∼△ACD CB2=AB⋅BD Prove: CB2+AC2=AB2

CB2+AC2=AB(BD+AD) || Factor BD+AD=AB || Segment Addition Theorem CB2+AC2=AB⋅AB || Substitution CB2+AC2=AB2 || Multiplication

Which value is equivalent to sin20∘?

cos70∘

Which value is equivalent to cos10∘?

sin80∘