找到你今天要练的题。

Triangle \( FGH \) is similar to triangle \( JKL \), where angle \( F \) corresponds to angle \( J \) and angles \( G \) and \( K \)  are right angles. If \( sin(F)=\frac{308}{317} \) , what is the value of \( sin(J) \)?

The measure of angle \( R \) is \( \frac{2π}{3} \) radians. The measure of angle \( T \) is \( \frac{5π}{12} \) radians greater than the measure of angle \( R \). What is the measure of angle \( T \), in degrees?

In the triangle shown, what is the value of tan x°?

What is the value of \( cosA \)  in the triangle shown?

RS = 20
ST = 48
TR = 52
The side lengths of right triangle RST are given. Triangle RST is similar to triangle UVW, where S corresponds to V and T corresponds to W. What is the value of tanW ?

In triangle RST above, point W (not shown) lies on \( RT \) . What is the value of cos (∠RSW) - sin(∠WST)?

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 tanA = \( \sqrt{3} \) and DF = 125, what is the length of \( DE \) ?

Triangle ABC is similar to triangle DEF, where angle A corresponds to angle D and angles C and F are right angles. The length of \( AB \)  is 2.9 times the length of \( DE \) . If tanA = \( \frac{21}{20} \) , what is the value of sinD?

In a right triangle, the tangent of one of the two acute angles is \( \frac{\sqrt{3}}{3} \) . What is the tangent of the other acute angle?

Triangle ABC is similar to triangle DEF, where angle A corresponds to angle D and angle C corresponds to angle F. Angles C and F are right angles. If tanA = \( \frac{50}{7} \)  , what is the value of tanE?

Triangle ABC above is a right triangle, and \( sin(B)=\frac{5}{13} \) . What is the length of side \( BC \) ?

In triangle JKL, cosK = \( \frac{24}{51} \)  and angle J is a right angle. What is the value of cosL?