Right 🔺 Trig

Find the missing letter; round to the nearest °

12÷cos(40)=16

Find the value of x, round to nearest 10th

17.3 ➗cos(37)= 21.7

What is the area of Triangle ABC?

36√3 units

Find the missing letter. Round to the nearest °

7÷tan(35)= 10

What do 90-30-60 degree 🔺s have?

Equal perimeters all around. (Each side = same #).

Do you put cos/sin/tan first, or the solo number?

Solo number ie 17.3 ÷ cos(37)

Astronomers often measure large distances using astronomical units (AU) where 1 AU is the average distance from Earth to the Sun. In the image, d represents the distance from a star to the Sun. Using a technique called "stellar parallax", astronomers determined θ is 0.00001389⁰ a). How far away is the star from the Sn in astronomical units? Show your reasoning. b). What an expression to calculate d for any star.

a). tan(θ)=1/d tan(0.0001389)=1/d tan(0.0001389)=2.42 b). sin(0.00001389)=d

Here are 2 right 🔺s a). Explain how you know the right triangles are similar. b). Write a ration that is equivalent to z/x c). Which ratios of side lengths are equal to tan(α)? d). If y/z=0.7, what is the measure of α to the nearest degree?

a). Angle-Angle-Similarity b). s/q c). y/z=r/q d). sin-¹(0.7)=44.4

What is the Duh! Theorum?

all triangles will = 180°

How do you find the area of a triangle?

base * height/2

Based on the figure, select all true equations.

cos(48)=b/c sin(42)=b/c tan(42)=b/a tan(48)=a/b

For an acute angle θ, the equation sin(θ)=cos(6) is true. What is the value of θ? Show/explain answer.

sin(90-6)=sin(84) DUH! THEOREM: All triangles are going to =180°, and since we already know there is a 90° angle and a 6° angle in the triangle, we know sin has to = 84

Find the missing letter--round to the nearest °

sin-¹(19/27) = 45

In building a tent, Jada ties a rope from the top of a pole 3 meters high to a stake that is 4 meters away from the base of the pole. Jada draws this diagram to help find the angle made between the rope and the ground. Which equation can Jada use to find the value of x?

tan(x)=¾

Find the missing letter and round to the nearest °

tan-¹(8/20)=23