﻿ Right Triangle Trigonometry Worksheet | Problems & Solutions

# Right Triangle Trigonometry Worksheet

Right Triangle Trigonometry Worksheet
• Page 1
1.
In right triangle ABC, if $\angle$B = 90°, $b$ = 46.8 and $c$ = 30.4, then find the measure of $\angle$C to the nearest ten minutes.
 a. 41° 31′ b. 49° 29′ c. 40° 31′ d. 50° 29′

2.
In right triangle DEF, if $\angle$E = 90°, $d$ = 17.4 and $f$ = 28.3, then find the measure of $\angle$F to nearest ten minutes.
 a. 37° 56′ b. 53° 34′ c. 58° 25′ d. 32° 35′

3.
In an isosceles triangle ABC, if $b$ = 18, $c$ = 18 and $\angle$C = 50°, then find the length of side $a$ to two significant digits.

 a. 28 b. 43 c. 12 d. 23

4.
In right triangle PQR, if $\angle$Q = 90°, $\angle$R = 30° and $r$ = 21, then find the measure of $p$ to two significant digits.

 a. 36 b. 12 c. 18 d. 10

5.
In right triangle DEF if $\angle$D = 42°, $\angle$E = 90° and $f$ = 25, then find the measure of $e$ to two significant digits.

 a. 17 b. 25 c. 34 d. 10

6.
In right triangle ABC, if $\angle$B = 90°, $\angle$C = 65° and $c$ = 24, then estimate the measure of $b$.

 a. 26 b. 2 c. 24 d. cannot be determined

7.
In right triangle PQR, if $\angle$Q = 90°, $\angle$R = 22° and $q$ = 45, then find the measure of $r$ to two significant digits.

 a. 38 b. 17 c. 67 d. 45

8.
In right triangle ABC, if $\angle$C = 90°, $\angle$A = 34°20′, $\stackrel{‾}{\mathrm{DC}}$ = 8.4 and $\stackrel{‾}{\mathrm{BC}}$ = 20.5, then find the measure of $\angle$ABD
 a. 55°36′ b. 22°16′ c. 67°44′ d. 33°24′

9.
Find the value of tan R, if $a$ = 18 units, $b$ = 24 units and $c$ = 30 units.

 a. $\frac{3}{5}$ b. $\frac{4}{3}$ c. $\frac{3}{4}$ d. $\frac{5}{3}$

If tan A = $\frac{6}{8}$, find the value of csc A.
 a. $\frac{6}{10}$ b. $\frac{8}{6}$ c. $\frac{8}{10}$ d. $\frac{10}{6}$