Question Bank / Math / Right Triangles and Trigonometry
Right triangles and trigonometry SAT question
Math · Geometry and Trigonometry · Hard · Answer it here, explanation included.
In the triangle shown, what is the value of ?
Enter a number or fraction (like 3/17 or 0.176). Press Enter to check.
ExplanationShow
The correct answer is . In a right triangle, the sine of an acute angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. In the triangle shown, the length of the side opposite the angle with measure is units and the length of the hypotenuse is units. Therefore, the value of is . Note that 16/23, .6956, .6957, 0.695, and 0.696 are examples of ways to enter a correct answer.
Drill this skill on Aceit
Adaptive practice, a daily plan, and score tracking take a free account so we can save your work.
More Right triangles and trigonometry questions
- Triangle F G H is similar to triangle J K L , where angle F corresponds to angle J and angles G and K are right angles. If sinF=308317, what is the value of sin(J)?
- In right triangle R S T , the sum of the measures of angle R and angle S is 90 degrees. The value of sinR is 15 4 . What is the value of cosS?
- In the figure above, what is the value of ?
- Triangle above is a right triangle, and . What is the length of side ?
- One angle is a right angle. The length of the side opposite the right angle is 19. The lengths of the other 2 sides are as follows: b 4 A note indicates the figure is not drawn t
- A graphic designer is creating a logo for a company. The logo is shown in the figure above. The logo is in the shape of a trapezoid and consists of three congruent equilateral tria