## Transcribed Text

Suppose ABC is a right triangle with sides a, b, and C and right angle at C. Use the Pythagorean theorem to find the unknown side length.
Then find the values of the six trigonometric functions for angle B. Rationalize the denominators when applicable.
=7,c=10
The unknown side length b is
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
sin B=
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
cos B =
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
tan B =
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
sec B =
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
Find (a) the complement and (b) the supplement of an angle with the measure 21°19'
(a) The complement of 21°19' is
o
/
(Simplify your answer.)
(b) The supplement of 21° 19' is
o
(Simplify your answer.)
Solve the right triangle ABC, with C - 90°
A 36.2° b 29.2 cm
B=
(Simplify your answer. Type an integer or a decimal. Round to the nearest tenth as needed.)
a 2
cm (Simplify your answer. Type an integer or a decimal. Round to the nearest tenth as needed.)
CS
cm (Simplify your answer. Type an integer or a decimal. Round to the nearest tenth as needed.)
,
Find the sum o + B of the two angles of 46°55' and B=28°11.
o
a + B=
(Simplify your answer. Type an integer or a fraction.)
From a window 35.0 ft above the street, the angle of elevation to the top of the
building across the street is 51.0° and the angle of depression to the base of this
building is 17.0° Find the height of the building across the street.
51.0°
717.0°
The height of the building across the street is
ft.
(Round to the nearest whole number as needed.)

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