Lesson 42.1

. Look at the triangles shown below.

What is the value of b?

A. 6

B. 2 SQUARE ROOT OF 13

C. 3 SQUARE ROOT OF 13

D. 3 SQUARE ROOT OF 14

Two students measure the angle between the ground and the top of a flagpole at a distance of 30 feet from the base of the flagpole, as shown in the diagram.

Which equation could be used to find the height of the flagpole?

A. sin(65)=x/30

B. cos(65)=x/30

C. tan (65)=x/30

D. sin (25)=30/x

You and a friend decide to calculate the height of a tall building. You stretch a length of rope,

denoted r, between yourself, standing at Point A, and your friend standing atop the building

at Point B, as shown in the figure below, where AC perpendicular to BC

Point C is the point at which the vertical side of the building meets the horizontal ground.

Which relationship must be true?

A. Sin C = Cos B

B. Sin B- Cos(<C-<A)

C=SinB = Cos A

D=CosB= SinC

Two similar triangles RSV and RTU are shown on the graph below.

What are the coordinates of S?

Jay and Libby are working outside when they see a blimp flying over the neighborhood. Jay is mowing the lawn approximately 2,500 feet (ft) from Libby when they both see the blimp. Libby looks up from her gardening at an angle 43 of while Jay looks up at an angle of 35

Which distance, in feet, is closest to the vertical height of the blimp above the ground?

A. 1,751 feet

B. 2,331 feet

C. 7,027 feet

D. 7,535 feet

A. Since △AEC∼△ADB

△AEC∼△ADB according to the side-angle-side similarity postulate, then x/2 =(x+y)/6.

B. Since△AEC∼△ADB

△AEC∼△ADB according to the side-angle-side similarity postulate, then x/2=(x+y)/z.

C. Since△AEC∼△ADB

△AEC∼△ADB according to the angle-angle similarity postulate, then 9/(x+y)=3/x

D. Since△AEC∼△ADB

△AEC∼△ADB according to the angle-angle similarity postulate, then 6/(x+y)=3/x