Right Triangle Trigonometry

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Presentation transcript:

Right Triangle Trigonometry Unit 2 Right Triangle Trigonometry

43. What does it mean for two angles to be complementary?

44. Angle 𝑱 and angle 𝑲 are complementary angles in a right triangle 44. Angle 𝑱 and angle 𝑲 are complementary angles in a right triangle. The value of 𝒕𝒂𝒏 𝑱 is 𝟏𝟓 𝟖 . What is the value of 𝒔𝒊𝒏 𝑱 ?

45. Triangle 𝑹𝑺𝑻 is a right triangle with right angle 𝑺, as shown 45. Triangle 𝑹𝑺𝑻 is a right triangle with right angle 𝑺, as shown. What is the area of triangle 𝑹𝑺𝑻?

46. A road ascends a hill at an angle of 𝟔° 46. A road ascends a hill at an angle of 𝟔°. For every 120 feet of road, how many feet does the road ascend?

47. Given triangle 𝑨𝑩𝑪, what is 𝒔𝒊𝒏 𝑨 ?

48. In a right triangle, if 𝒄𝒐𝒔 𝑨 = 𝟗 𝟏𝟐 , what is 𝒔𝒊𝒏 𝑨 ?

49. In right triangle 𝑨𝑩𝑪, if 𝑨 and 𝑩 are the acute angles, and 𝒔𝒊𝒏 𝑩 = 𝟔 𝟐𝟎 , what is 𝒄𝒐𝒔 𝑨 ?

A and 50. Find the measure of angle 𝒙. Round your answer to the nearest degree.

51. Solve for 𝒙.

52. You are given that 𝒕𝒂𝒏 𝑩 = 𝟏𝟗 𝟏𝟏 . What is the measure of angle 𝑩?

51. A ladder is leaning against a house so that the top of the ladder is 18 feet above the ground. The angle with the ground is 47. How far is the base of the ladder from the house?