5272道题目5525 条题源记录 · 相同内容已合并
三角函数・单位圆与弧度进阶
According to a US law, ramps for use by the general public must form an angle with level ground such that \( tanθ≤\frac{1}{12} \). If the ramp in the figure conforms to this law and has a height of 29.1 inches. What is the least possible value of x, in inches?
原库参考解析
三角函数・单位圆与弧度进阶
In right triangle ABC, side BC has a length of \( \sqrt{799} \) . The hypotenuse, side AB has a length of 32. What is the value of \( sinB \) ?
原库参考解析
三角函数・单位圆与弧度挑战
The measure of an angle is \( (51)(\frac{k}{2})π \) radians, where k is a constant. What is the measure of this angle, in degrees?
原库参考解析
三角函数・单位圆与弧度进阶
In right triangle RST, the sum of the measures of angle R and angle S is 90 degrees. The value of \( sin(R) \) is \( \frac{4\sqrt{2}}{9} \) . What is the value of \( cos(S) \) ?
原库参考解析
三角函数・单位圆与弧度挑战
In right triangle ABC, angles A and B are acute, side AC has a length of 23.3, and \( tanB=\frac{1}{4} \) . What is the length of side BC, rounded to the nearest tenth?
原库参考解析
三角函数・单位圆与弧度挑战
In triangle \( QRS \) shown, \( QR<RS \) . Which expression represents the length of \( QS \) ?
原库参考解析
三角函数・单位圆与弧度挑战
In the xy-plane, a unit circle with center at the origin O contains point A with coordinates \( (1,\ 0) \) and point B with coordinates \( (\frac{5}{\sqrt{34}},\ -\frac{3}{\sqrt{34}}) \) . If the measure of angle AOB is p radians, what is the value of \( \frac{cosp}{sinp} \) ?
原库参考解析
三角函数・单位圆与弧度挑战
In the figure, \( AD \) and \( BC \) intersect at point \( D \) . The measure of \( ∠ABD \) is \( w° \) , the measure of \( ∠CAD \) is \( z° \) , and \( AD=178 \) . If \( cosw°=\frac{9}{41} \) , what is the value of \( tanz° \) ?
原库参考解析
三角函数・单位圆与弧度挑战
In triangle \( XYZ \), the measure of angle \( X \) is 90°. Point \( W \) lies on segment \( YZ \), and segment \( WX \) is perpendicular to segment \( YZ \). The length of segment \( YW \) is 612, and the length of segment \( WX \) is 459. What is the value of \( tanZ \)?
原库参考解析
三角函数・单位圆与弧度挑战
Triangle \( ABC \) is similar to triangle \( DEF \), where \( A \) corresponds to \( D \) and \( C \) corresponds to \( F \). Angles \( C \) and \( F \) are right angles. If \( tan(A)=\surd 3 \) and \( DF=53 \), what is the length of \( DE \)?
原库参考解析
三角函数・单位圆与弧度挑战
In the xy-plane, a unit circle with center at the origin O contains point A with coordinates (1, 0) and point B with coordinates\( \left(-\frac{5}{\sqrt{89}},\frac{8}{\sqrt{89}}\right) \). If the measure of angle AOB is w radians, what is the value of \( tanw \)?
原库参考解析
三角函数・单位圆与弧度进阶
In the right triangle shown, what is the value of \( tanA \) ?
原库参考解析
