Ivy Global /

Triangles and Trigonometry

Definition

Use properties of similar and isosceles triangles, the pythagorean theorem, or basic trigonometric ratios to solve triangles. Relate basic trigonometric expressions to right triangles.

Example

A radar on a boat records the positions of 2 islands, $A$ and $B$, and the angle between them, as shown in the diagram below. If the units on the diagram are in miles, what is the distance $d$ between islands $A$ and $B$ to the closest mile?

Practice Drill Questions

Section
No.
Question Number
Difficulty

Practice Questions From Tests

Ivy Global - 2 Hr

Test
Section
No.
Question Number
Difficulty
2 Math 6 Medium

Ivy Global - ACT Guide 1.0

Test
Section
No.
Question Number
Difficulty
1 Math 11 Medium
1 Math 29 Medium
1 Math 38 Medium
1 Math 48 Medium
1 Math 56 Hard
2 Math 20 Medium
2 Math 26 Medium
2 Math 33 Medium
2 Math 37 Medium
2 Math 45 Medium
2 Math 54 Medium
2 Math 55 Medium
3 Math 21 Medium
3 Math 54 Medium
3 Math 56 Medium
3 Math 60 Medium

Ivy Global - Free ACT Online Exams

Test
Section
No.
Question Number
Difficulty
1 Math 42 Medium
1 Math 50 Medium

Livius

Test
Section
No.
Question Number
Difficulty
1 English 9 Medium
1 English 63 Easy
1 Mathematics 30 Medium
1 Mathematics 34 Medium
1 Mathematics 59 Medium
2 English 10 Easy
2 English 72 Medium
2 Mathematics 20 Medium
2 Mathematics 35 Medium
2 Mathematics 48 Medium
2 Mathematics 52 Medium
3 English 69 Medium
3 English 74 Medium
3 Mathematics 20 Medium
3 Mathematics 37 Medium
3 Mathematics 45 Medium
3 Mathematics 56 Medium
4 English 69 Medium
4 English 74 Medium
4 Mathematics 20 Medium
4 Mathematics 37 Medium
4 Mathematics 45 Medium
4 Mathematics 56 Medium

Official ACT Practice Tests

Test
Section
No.
Question Number
Difficulty
1 Math 27 Medium
1 Math 30 Medium
2 Math 19 Easy
2 Math 20 Easy
2 Math 39 Medium
2 Math 55 Hard
2 Math 59 Hard