Transcript acute

Find the value of x
Tell if the measures 7, 11, and 15 can be the side
lengths of a triangle. If so, classify the triangle as
acute, obtuse, or right.
Find the values of the variables.
Give your answers in simplest
radical form.
x = 10 and y = 20
Find the values of the variables. Give your
answers in simplest radical form.
Use a special right triangle to
write each trigonometric ratio
as a fraction.
cos 60°
sin 45°
Find the unknown measures.
Round lengths to the nearest
hundredth and angle measures
to the nearest degree.
DE ≅5.7; m∠D≅68°; m∠F≅22°
A plane is flying at an altitude of 14,500
ft. The angle of depression from the
plane to a control tower is 15. What is
the horizontal distance from the plane
to the tower? Round to the nearest foot.
A woman is standing 12 ft from a
sculpture. The angle of elevation from her
eye to the top of the sculpture is 30, and
the angle of depression to its base is 22.
How tall is the sculpture to the nearest
foot?
12 ft
A surveyor 50 meters from the
base of a cliff measures the angle
of elevation to the top of the cliff
as 72°. What is the height of the
cliff? Round to the nearest meter.
To the nearest degree, what is m∠A?
Determine the perimeter
of a square with a diagonal
of 72 centimeters.
24
Write the tangent of ∠T as a fraction.
The ladder, represented by line segment AB , is
17 feet long.
What is the measure of angle A, the
angle that the ladder makes with a
horizontal line?
An equilateral triangle has an altitude of 21
inches. What is the side length of the
triangle?
A ladder 15 feet from the base of a window that
35 feet high. What is the length of the ladder to
the nearest foot?
It is recommended that for a height of 20 inches,
a wheelchair ramp be 19 feet long. What is the
value of x to the nearest tenth?
To secure an outdoor canopy, a 64inch cord is extended from the top
of a vertical pole to the ground. If
the cord makes a 60° angle with
the ground, how tall is the pole?
32 3 or ≅55.4 in
7
.
32
A hiking trail has a slope of
What is the measure of the angle
that the trail makes with a
horizontal line? Round to the
nearest degree.
12°
Some mountains in the Alps are very
steep and have a grade of 42.9%.
To the nearest degree, what angle do
these mountains make with a
horizontal line?
23°
Find x and y
x = 12 and y = 12 3