# Math

1. The base of an isosceles triangle is 14 cm in length and the angle opposite the base measures 86 degrees. Find the length of each of the congruent sides.

2. A ski slope has a 42 degrees incline and 170 yard long. Find the vertical drop.

1. 👍 0
2. 👎 0
3. 👁 266
1. draw in an altitude to the base , which would bisect the base.
So now you have a right angled triangle,
let the equal sides be x cm each
sin 43° = 7/x
x = 7/sin43 = appr 10.26 cm

For the second, I will assume that the 170 yrds is measured along the ski run
then
sin42 = x/170
x = 170sin42 = appr 113.75 yrds

1. 👍 0
2. 👎 0
posted by Reiny

## Similar Questions

1. ### SAT math

Can someone please double check my true and false answers! 1. All cylinders are prisms: TRUE 2. The angle opposite a side length of 6 cm in a triangle is larger than an angle opposite a side length of 7 cm in the same triangle:

asked by mysterychicken on June 2, 2013
2. ### Math

The two sides of a isosceles triangle have a fixed lenght of 14 cm. The opposite angle at the base of the triangle increases by 0.3 rad/min. a) what is the growth rate dx/dt of the base of the triangle when the opposite angle

asked by Ralph on April 20, 2011
3. ### Math

The two sides of a isosceles triangle have a fixed lenght of 14 cm. The opposite angle at the base of the triangle increases by 0.3 rad/min. a) what is the growth rate dx/dt of the base of the triangle when the opposite angle

asked by Ralph on April 20, 2011
4. ### Math

The two sides of a isosceles triangle have a fixed lenght of 14 cm. The opposite angle at the base of the triangle increases by 0.3 rad/min. a) what is the growth rate dx/dt of the base of the triangle when the opposite angle

asked by Ralph on April 19, 2011
5. ### Math

The two sides of a isosceles triangle have a fixed lenght of 14 cm. The opposite angle at the base of the triangle increases by 0.3 rad/min. a) what is the growth rate dx/dt of the base of the triangle when the opposite angle

asked by Ralph on April 19, 2011
6. ### Math

Could anyone help me udnerstand the base angle theorem and the converse base angle theorem better?..I don't wuite understand them, and I have homework on it. Marie: The base angle theorem: If in a triangle two of the side are

asked by Marie on December 19, 2006
7. ### Math

In a diagram of an 2 isosceles triangles, where ABC is a big triangle and a ADE, is just inside the top portion of ABC. Isosceles triangle ABC is similar to a isosceles triangle ADE what is the length of DE, which is the base part

asked by Terri on July 27, 2016

An isosceles triangle has two parallel sides and one non parallel side, the base. The angles are labelled q and r at the base and p at the point of the triangle. One parallel side is 44m in length, while the angle directly

asked by Jenny on June 27, 2016
9. ### corollary to isosceles triangle theorem

how to prove 1)the measure of each angle of an equilateral triangle is 60. 2)the bisector of the vertex angle of an isosceles triangle is the perpendicular bisector of the base. Thanks. 1) The angles in any triangle have to add up

asked by Jen on November 17, 2006
10. ### math

An isosceles triangle has a base of 20 cm. The vertex angle is 82 . Find the length of Each of the two equal sides of the triangle.

asked by meme on March 13, 2016

More Similar Questions