Trigonometry PRACTICE Test

Online Homework System Assignment Worksheet

6/21/18 - 4:51 PM

Name: ____________________________ Class: American Public University System - Precalculus (MATH111 C003 Win 18) (3u7gt5)

Class #: ____________________________ Section #: ____________________________ Instructor:Maple T.A. Administrator Assignment:PRACTICE TEST 7.1

Question 1: (1 point)

In a baseball game, a batter standing at home plate sees the second baseman standing on the baseline between 1st and 2nd base as shown in the figure.

If , how far is the second baseman from second base?

Round to the nearest hundredth.

The distance to second base is approximately ____________ feet.

Question 2: (1 point)

Find the area of the triangle if inches, inches, and . Round to the nearest tenth.

θ = 12∘

b = 13 c = 23 γ = 99°

Area ____________ in2

Question 3: (1 point)

Find the area of the triangle if inches, inches, and . Round to the nearest tenth.

Area ____________ in2

Question 4: (1 point)

If and , determine the measures for that will result in one nonright triangle, no triangle, and two triangles. Round values to the nearest hundredth as needed.

A. One nonright triangle exists when ____________.

B. No triangles exist when ____________ .

≈

a = 11 b = 12 γ = 100°

≈

α = 35° a = 12 b b

b ≤

b >

< b <

C. Two triangles exist when ____________ ____________.

Question 5: (1 point)

Solve the triangle and if possible. If two triangles exist, solve both.

(a) (b) (c) (d) (e)No such triangle exists.

Question 6: (1 point)

Determine the number of possible triangles with the given information.

and

(a)One (b)Two (c)None

Question 7: (1 point)

< b <

α = 51°, a = 9.6, b = 10.8,

β ≈ 43.69°, γ ≈ 85.31°, c ≈ 7.49 β ≈ 43.69°, γ ≈ 85.31°, c ≈ 10.2 β ≈ 119°, γ ≈ 10°, c ≈ 2.15 β ≈ 61°, γ ≈ 68°, c ≈ 11.45

c = 6, a = 5, γ = 40°

If find all unknown side lengths and angle measures. Round to the nearest hundredth for side lengths and angles, as needed.

____________

____________ °

____________ °

Question 8: (1 point)

If , find all unknown side lengths and angle measures. Round to the nearest hundredth for side lengths and angles, as needed.

γ = 97° , b = 18.3, c = 28.65,

a ≈

β ≈

α ≈

α = 26° , β = 29°, c = 6.332

____________

____________

____________ °

Question 9: (1 point)

If , find all unknown side lengths and angle measures. Round to the nearest hundredth for side lengths and angles, as needed.

____________

____________

____________ °

a ≈

b ≈

γ =

β = 81°, γ = 63° , c = 10.02

a ≈

b ≈

α =