EXAMPLE 1 Use an inverse tangent to find an angle measure Use a calculator to approximate the measure of ZA to the nearest tenth of a degree. 15 20 Solution Because tan A = 20 5n == 0.75, tan¯' 0.75 = m2A. Use a calculator. 4 %3D %3D tan- 0.75 36.86989765 · · - >So, the measure of ZA is approximately 36.9°. EXAMPLE 2 Use an inverse sine and an inverse cosine Let ZA andZB be acute angles in a right triangle. Use a calculator to approximate the measures of ZA and ZB to the nearest tenth of a degree. a. sin A = 0.87 b. cos B = 0.1 Solution a. mZA= sin 0.87~60.5° b. mZB = cos" 0.15 - 81.4° Guided Practice Problem #1 and #2 1) Use a calculator and an inverse tangent to approximate mLC to the nearest tenth of a degree. 2) Find the mZD to the nearest tenth of a degree is sin D = 0.54.

EXAMPLE 1 Use an inverse tangent to find an angle measure Use a calculator to approximate the measure of ZA to the nearest tenth of a degree. 15 20 Solution Because tan A = 20 5n == 0.75, tan¯' 0.75 = m2A. Use a calculator. 4 %3D %3D tan- 0.75 36.86989765 · · - >So, the measure of ZA is approximately 36.9°. EXAMPLE 2 Use an inverse sine and an inverse cosine Let ZA andZB be acute angles in a right triangle. Use a calculator to approximate the measures of ZA and ZB to the nearest tenth of a degree. a. sin A = 0.87 b. cos B = 0.1 Solution a. mZA= sin 0.87~60.5° b. mZB = cos" 0.15 - 81.4° Guided Practice Problem #1 and #2 1) Use a calculator and an inverse tangent to approximate mLC to the nearest tenth of a degree. 2) Find the mZD to the nearest tenth of a degree is sin D = 0.54.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

EXAMPLE 1
Use an inverse tangent to find an angle measure
Use a calculator to approximate the measure
of ZA to the nearest tenth of a degree.
C
15
B
20
Solution
Because tan A =
15
%3D
= 0.75, tan 0.75 = mZĀ, Use a calculator.
20
tan 0.75 - 36.86989765- . -
So, the measure of ZA is approximately 36.9°.
EXAMPLE 2
Use an inverse sine and an inverse cosine
Let ZA andZB be acute angles in a right triangle. Use a calculator to
approximate the measures of ZA and ZB to the nearest tenth of a degree.
a. sin A = 0.87
b. cos B = 0.15
Solution
a. mZA= sin¬ 0.87 60.5°
b. mZB= cos™0.15 81.4°
Guided Practice Problem #1 and #2
1) Use a calculator and an inverse tangent to approximate m2C to the nearest tenth of a
degree.
2) Find the mZD to the nearest tenth of a degree is sin D = 0.54.

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