trigonometry. Math
posted by Melody .
In a triangle PQR, angle Q=50 degrees,PR=5CM, QR=4CM. find angle P?

Looks like the "ambiguous case" , or sometimes called the SSA setup, where A is NOT the contained angle
sinP/4 = sin 50°/5
sin P = 4sin50/5 = .61284
angle P = 37.8° or 18037.8 ° which is 142.2°
but the second case would result in (angleR + 142.2+50) > 180, thus that case is not admissable.
so angle P is 37.8°
Respond to this Question
Similar Questions

geometry
Ray QS is the angle bisector of angle pqr. Pqr has a bisecotor qs and angle pqs is 40 degrees. What would be the two angle measures not given in the diagram? 
geometry
3. For each of the following, tell how many noncongruent triangles PQR fit the given description, and find the size of angle Q. Make a separate diagram for each case. (a) p = 3, q = 5, angle P = 27 degrees (b) p = 8, q = 5, angle P … 
geometry
For each of the following, tell how many noncongruent triangles PQR fit the given description, and find the size of angle Q. Make a separate diagram for each case. (a) p = 3, q = 5, angle P = 27 degrees (b) p = 8, q = 5, angle P = … 
math
The sum of the 3 angles of a triangle is 180 degrees. In triangle PQR, the largest angle is twice the size of the smallest angle. The remaining angle is 16 degrees larger than the smallest. Write and solve an equation to find the size … 
Geometry
Please answer at least one . PLEASE 1. Triangle XYZ has a right angle at Y. V,W are on XZ such that XV=XY. WZ=YZ, find ANGLE VYW . 2. STUVWXYZ is a regular octagon. Find SW/ TZ. 3. The interior angles of a convex polygon form an arithmetic … 
Geometry
Given triangle PQR with m<P=(5x+10) degrees m<Q=(3x+18) degrees and m<R=(2x+32) degrees. Classify triangle PQR by side length and angle measure. Explain your answer 
geometry
construct a triangle PQR in which pq=5.5cm angle p=75° and pr=5cm? 
geometry
construct a triangle PQR in which pq=5.5cm angle p=75° and pr=5cm? 
Math
Find the value of x if line QS bisects angle PQR and measure of angle PQR equals 82 degrees. angle PQS=10x+1 
Math
In triangle PQR, angle Q= 90 degrees, angle P= 60 degrees and angle R= 30 degrees. PR= 1 unit. Extend side QR to T such that PR= RT. Join PT. Calculate the exact measure of angle T. Determine the exact value of lengths needed to find …